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Finding the Third Proportional to 30,207.50 and 46,106.75

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Solution

The third proportional to 30,207.50 and 46,106.75 is: 70,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.50 : 46,106.75 = 46,106.75 : x
  2. Step 2: Convert to fraction form
    30,207.50/46,106.75 = 46,106.75/x
  3. Step 3: Cross multiply
    30,207.50x = 46,106.75 × 46,106.75
  4. Step 4: Simplify right side
    30,207.50x = 2,125,832,395.56
  5. Step 5: Solve for x
    x = 2,125,832,395.56/30,207.50
  6. Step 6: Final answer
    x = 70,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.