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Finding the Third Proportional to 40,693 and 56,026

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Solution

The third proportional to 40,693 and 56,026 is: 77,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,693 : 56,026 = 56,026 : x
  2. Step 2: Convert to fraction form
    40,693/56,026 = 56,026/x
  3. Step 3: Cross multiply
    40,693x = 56,026 × 56,026
  4. Step 4: Simplify right side
    40,693x = 3,138,912,676
  5. Step 5: Solve for x
    x = 3,138,912,676/40,693
  6. Step 6: Final answer
    x = 77,136.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.