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Finding the Third Proportional to 15,780.29 and 34,384.03

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Solution

The third proportional to 15,780.29 and 34,384.03 is: 74,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.29 : 34,384.03 = 34,384.03 : x
  2. Step 2: Convert to fraction form
    15,780.29/34,384.03 = 34,384.03/x
  3. Step 3: Cross multiply
    15,780.29x = 34,384.03 × 34,384.03
  4. Step 4: Simplify right side
    15,780.29x = 1,182,261,202.06
  5. Step 5: Solve for x
    x = 1,182,261,202.06/15,780.29
  6. Step 6: Final answer
    x = 74,920.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.