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Finding the Third Proportional to 20,179.50 and 46,893.75

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Solution

The third proportional to 20,179.50 and 46,893.75 is: 108,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.50 : 46,893.75 = 46,893.75 : x
  2. Step 2: Convert to fraction form
    20,179.50/46,893.75 = 46,893.75/x
  3. Step 3: Cross multiply
    20,179.50x = 46,893.75 × 46,893.75
  4. Step 4: Simplify right side
    20,179.50x = 2,199,023,789.06
  5. Step 5: Solve for x
    x = 2,199,023,789.06/20,179.50
  6. Step 6: Final answer
    x = 108,973.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.