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Finding the Third Proportional to 15,646.50 and 34,195.50

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Solution

The third proportional to 15,646.50 and 34,195.50 is: 74,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.50 : 34,195.50 = 34,195.50 : x
  2. Step 2: Convert to fraction form
    15,646.50/34,195.50 = 34,195.50/x
  3. Step 3: Cross multiply
    15,646.50x = 34,195.50 × 34,195.50
  4. Step 4: Simplify right side
    15,646.50x = 1,169,332,220.25
  5. Step 5: Solve for x
    x = 1,169,332,220.25/15,646.50
  6. Step 6: Final answer
    x = 74,734.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.