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Finding the Third Proportional to 35,742 and 52,543

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Solution

The third proportional to 35,742 and 52,543 is: 77,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 52,543 = 52,543 : x
  2. Step 2: Convert to fraction form
    35,742/52,543 = 52,543/x
  3. Step 3: Cross multiply
    35,742x = 52,543 × 52,543
  4. Step 4: Simplify right side
    35,742x = 2,760,766,849
  5. Step 5: Solve for x
    x = 2,760,766,849/35,742
  6. Step 6: Final answer
    x = 77,241.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.