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Finding the Third Proportional to 35,737 and 56,674

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Solution

The third proportional to 35,737 and 56,674 is: 89,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737 : 56,674 = 56,674 : x
  2. Step 2: Convert to fraction form
    35,737/56,674 = 56,674/x
  3. Step 3: Cross multiply
    35,737x = 56,674 × 56,674
  4. Step 4: Simplify right side
    35,737x = 3,211,942,276
  5. Step 5: Solve for x
    x = 3,211,942,276/35,737
  6. Step 6: Final answer
    x = 89,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.