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Finding the Third Proportional to 15,734.25 and 34,050.38

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Solution

The third proportional to 15,734.25 and 34,050.38 is: 73,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.25 : 34,050.38 = 34,050.38 : x
  2. Step 2: Convert to fraction form
    15,734.25/34,050.38 = 34,050.38/x
  3. Step 3: Cross multiply
    15,734.25x = 34,050.38 × 34,050.38
  4. Step 4: Simplify right side
    15,734.25x = 1,159,428,037.64
  5. Step 5: Solve for x
    x = 1,159,428,037.64/15,734.25
  6. Step 6: Final answer
    x = 73,688.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.