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Finding the Third Proportional to 9,565.69 and 15,082.15

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Solution

The third proportional to 9,565.69 and 15,082.15 is: 23,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.69 : 15,082.15 = 15,082.15 : x
  2. Step 2: Convert to fraction form
    9,565.69/15,082.15 = 15,082.15/x
  3. Step 3: Cross multiply
    9,565.69x = 15,082.15 × 15,082.15
  4. Step 4: Simplify right side
    9,565.69x = 227,471,201.49
  5. Step 5: Solve for x
    x = 227,471,201.49/9,565.69
  6. Step 6: Final answer
    x = 23,779.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.