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Finding the Third Proportional to 34,862 and 52,373

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Solution

The third proportional to 34,862 and 52,373 is: 78,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,862 : 52,373 = 52,373 : x
  2. Step 2: Convert to fraction form
    34,862/52,373 = 52,373/x
  3. Step 3: Cross multiply
    34,862x = 52,373 × 52,373
  4. Step 4: Simplify right side
    34,862x = 2,742,931,129
  5. Step 5: Solve for x
    x = 2,742,931,129/34,862
  6. Step 6: Final answer
    x = 78,679.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.