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Finding the Third Proportional to 10,540.13 and 24,732.84

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Solution

The third proportional to 10,540.13 and 24,732.84 is: 58,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 24,732.84 = 24,732.84 : x
  2. Step 2: Convert to fraction form
    10,540.13/24,732.84 = 24,732.84/x
  3. Step 3: Cross multiply
    10,540.13x = 24,732.84 × 24,732.84
  4. Step 4: Simplify right side
    10,540.13x = 611,713,559.96
  5. Step 5: Solve for x
    x = 611,713,559.96/10,540.13
  6. Step 6: Final answer
    x = 58,036.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.