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Finding the Third Proportional to 34,306 and 52,431

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Solution

The third proportional to 34,306 and 52,431 is: 80,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,306 : 52,431 = 52,431 : x
  2. Step 2: Convert to fraction form
    34,306/52,431 = 52,431/x
  3. Step 3: Cross multiply
    34,306x = 52,431 × 52,431
  4. Step 4: Simplify right side
    34,306x = 2,749,009,761
  5. Step 5: Solve for x
    x = 2,749,009,761/34,306
  6. Step 6: Final answer
    x = 80,132.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.