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Finding the Third Proportional to 8,464.50 and 19,743.75

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Solution

The third proportional to 8,464.50 and 19,743.75 is: 46,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.50 : 19,743.75 = 19,743.75 : x
  2. Step 2: Convert to fraction form
    8,464.50/19,743.75 = 19,743.75/x
  3. Step 3: Cross multiply
    8,464.50x = 19,743.75 × 19,743.75
  4. Step 4: Simplify right side
    8,464.50x = 389,815,664.06
  5. Step 5: Solve for x
    x = 389,815,664.06/8,464.50
  6. Step 6: Final answer
    x = 46,053.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.