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Finding the Third Proportional to 24,229.13 and 26,659.13

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Solution

The third proportional to 24,229.13 and 26,659.13 is: 29,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229.13 : 26,659.13 = 26,659.13 : x
  2. Step 2: Convert to fraction form
    24,229.13/26,659.13 = 26,659.13/x
  3. Step 3: Cross multiply
    24,229.13x = 26,659.13 × 26,659.13
  4. Step 4: Simplify right side
    24,229.13x = 710,708,945.77
  5. Step 5: Solve for x
    x = 710,708,945.77/24,229.13
  6. Step 6: Final answer
    x = 29,332.84

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.