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Finding the Third Proportional to 34,302 and 51,534

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Solution

The third proportional to 34,302 and 51,534 is: 77,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302 : 51,534 = 51,534 : x
  2. Step 2: Convert to fraction form
    34,302/51,534 = 51,534/x
  3. Step 3: Cross multiply
    34,302x = 51,534 × 51,534
  4. Step 4: Simplify right side
    34,302x = 2,655,753,156
  5. Step 5: Solve for x
    x = 2,655,753,156/34,302
  6. Step 6: Final answer
    x = 77,422.69

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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.