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Finding the Third Proportional to 10,020.59 and 15,515.30

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Solution

The third proportional to 10,020.59 and 15,515.30 is: 24,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.59 : 15,515.30 = 15,515.30 : x
  2. Step 2: Convert to fraction form
    10,020.59/15,515.30 = 15,515.30/x
  3. Step 3: Cross multiply
    10,020.59x = 15,515.30 × 15,515.30
  4. Step 4: Simplify right side
    10,020.59x = 240,724,437.12
  5. Step 5: Solve for x
    x = 240,724,437.12/10,020.59
  6. Step 6: Final answer
    x = 24,022.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.