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Finding the Third Proportional to 9,513.38 and 15,150.88

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Solution

The third proportional to 9,513.38 and 15,150.88 is: 24,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.38 : 15,150.88 = 15,150.88 : x
  2. Step 2: Convert to fraction form
    9,513.38/15,150.88 = 15,150.88/x
  3. Step 3: Cross multiply
    9,513.38x = 15,150.88 × 15,150.88
  4. Step 4: Simplify right side
    9,513.38x = 229,549,013.27
  5. Step 5: Solve for x
    x = 229,549,013.27/9,513.38
  6. Step 6: Final answer
    x = 24,129.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.