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Finding the Third Proportional to 11,562.33 and 24,035.91

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Solution

The third proportional to 11,562.33 and 24,035.91 is: 49,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.33 : 24,035.91 = 24,035.91 : x
  2. Step 2: Convert to fraction form
    11,562.33/24,035.91 = 24,035.91/x
  3. Step 3: Cross multiply
    11,562.33x = 24,035.91 × 24,035.91
  4. Step 4: Simplify right side
    11,562.33x = 577,724,789.26
  5. Step 5: Solve for x
    x = 577,724,789.26/11,562.33
  6. Step 6: Final answer
    x = 49,966.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.