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Finding the Third Proportional to 26,541 and 40,732.88

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Solution

The third proportional to 26,541 and 40,732.88 is: 62,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,541 : 40,732.88 = 40,732.88 : x
  2. Step 2: Convert to fraction form
    26,541/40,732.88 = 40,732.88/x
  3. Step 3: Cross multiply
    26,541x = 40,732.88 × 40,732.88
  4. Step 4: Simplify right side
    26,541x = 1,659,167,105.77
  5. Step 5: Solve for x
    x = 1,659,167,105.77/26,541
  6. Step 6: Final answer
    x = 62,513.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.