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Finding the Third Proportional to 41,845 and 58,528

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Solution

The third proportional to 41,845 and 58,528 is: 81,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,845 : 58,528 = 58,528 : x
  2. Step 2: Convert to fraction form
    41,845/58,528 = 58,528/x
  3. Step 3: Cross multiply
    41,845x = 58,528 × 58,528
  4. Step 4: Simplify right side
    41,845x = 3,425,526,784
  5. Step 5: Solve for x
    x = 3,425,526,784/41,845
  6. Step 6: Final answer
    x = 81,862.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.