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Finding the Third Proportional to 34,614 and 53,757

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Solution

The third proportional to 34,614 and 53,757 is: 83,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 53,757 = 53,757 : x
  2. Step 2: Convert to fraction form
    34,614/53,757 = 53,757/x
  3. Step 3: Cross multiply
    34,614x = 53,757 × 53,757
  4. Step 4: Simplify right side
    34,614x = 2,889,815,049
  5. Step 5: Solve for x
    x = 2,889,815,049/34,614
  6. Step 6: Final answer
    x = 83,486.89

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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.