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Finding the Third Proportional to 34,130 and 52,731

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Solution

The third proportional to 34,130 and 52,731 is: 81,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130 : 52,731 = 52,731 : x
  2. Step 2: Convert to fraction form
    34,130/52,731 = 52,731/x
  3. Step 3: Cross multiply
    34,130x = 52,731 × 52,731
  4. Step 4: Simplify right side
    34,130x = 2,780,558,361
  5. Step 5: Solve for x
    x = 2,780,558,361/34,130
  6. Step 6: Final answer
    x = 81,469.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.