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Finding the Third Proportional to 34,540 and 73,982

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Solution

The third proportional to 34,540 and 73,982 is: 158,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 73,982 = 73,982 : x
  2. Step 2: Convert to fraction form
    34,540/73,982 = 73,982/x
  3. Step 3: Cross multiply
    34,540x = 73,982 × 73,982
  4. Step 4: Simplify right side
    34,540x = 5,473,336,324
  5. Step 5: Solve for x
    x = 5,473,336,324/34,540
  6. Step 6: Final answer
    x = 158,463.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.