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Finding the Third Proportional to 34,882 and 77,513

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Solution

The third proportional to 34,882 and 77,513 is: 172,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882 : 77,513 = 77,513 : x
  2. Step 2: Convert to fraction form
    34,882/77,513 = 77,513/x
  3. Step 3: Cross multiply
    34,882x = 77,513 × 77,513
  4. Step 4: Simplify right side
    34,882x = 6,008,265,169
  5. Step 5: Solve for x
    x = 6,008,265,169/34,882
  6. Step 6: Final answer
    x = 172,245.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.