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Finding the Third Proportional to 11,543.06 and 24,726.38

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Solution

The third proportional to 11,543.06 and 24,726.38 is: 52,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.06 : 24,726.38 = 24,726.38 : x
  2. Step 2: Convert to fraction form
    11,543.06/24,726.38 = 24,726.38/x
  3. Step 3: Cross multiply
    11,543.06x = 24,726.38 × 24,726.38
  4. Step 4: Simplify right side
    11,543.06x = 611,393,620.64
  5. Step 5: Solve for x
    x = 611,393,620.64/11,543.06
  6. Step 6: Final answer
    x = 52,966.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.