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Finding the Third Proportional to 52,862 and 72,487

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Solution

The third proportional to 52,862 and 72,487 is: 99,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862 : 72,487 = 72,487 : x
  2. Step 2: Convert to fraction form
    52,862/72,487 = 72,487/x
  3. Step 3: Cross multiply
    52,862x = 72,487 × 72,487
  4. Step 4: Simplify right side
    52,862x = 5,254,365,169
  5. Step 5: Solve for x
    x = 5,254,365,169/52,862
  6. Step 6: Final answer
    x = 99,397.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.