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Finding the Third Proportional to 15,574.78 and 34,264.69

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Solution

The third proportional to 15,574.78 and 34,264.69 is: 75,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.78 : 34,264.69 = 34,264.69 : x
  2. Step 2: Convert to fraction form
    15,574.78/34,264.69 = 34,264.69/x
  3. Step 3: Cross multiply
    15,574.78x = 34,264.69 × 34,264.69
  4. Step 4: Simplify right side
    15,574.78x = 1,174,068,809.47
  5. Step 5: Solve for x
    x = 1,174,068,809.47/15,574.78
  6. Step 6: Final answer
    x = 75,382.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.