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Finding the Third Proportional to 34,534 and 54,600

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Solution

The third proportional to 34,534 and 54,600 is: 86,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534 : 54,600 = 54,600 : x
  2. Step 2: Convert to fraction form
    34,534/54,600 = 54,600/x
  3. Step 3: Cross multiply
    34,534x = 54,600 × 54,600
  4. Step 4: Simplify right side
    34,534x = 2,981,160,000
  5. Step 5: Solve for x
    x = 2,981,160,000/34,534
  6. Step 6: Final answer
    x = 86,325.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.