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Finding the Third Proportional to 15,688.69 and 34,346.53

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Solution

The third proportional to 15,688.69 and 34,346.53 is: 75,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.69 : 34,346.53 = 34,346.53 : x
  2. Step 2: Convert to fraction form
    15,688.69/34,346.53 = 34,346.53/x
  3. Step 3: Cross multiply
    15,688.69x = 34,346.53 × 34,346.53
  4. Step 4: Simplify right side
    15,688.69x = 1,179,684,208.91
  5. Step 5: Solve for x
    x = 1,179,684,208.91/15,688.69
  6. Step 6: Final answer
    x = 75,193.30

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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.