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Finding the Third Proportional to 34,217 and 54,487

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Solution

The third proportional to 34,217 and 54,487 is: 86,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,217 : 54,487 = 54,487 : x
  2. Step 2: Convert to fraction form
    34,217/54,487 = 54,487/x
  3. Step 3: Cross multiply
    34,217x = 54,487 × 54,487
  4. Step 4: Simplify right side
    34,217x = 2,968,833,169
  5. Step 5: Solve for x
    x = 2,968,833,169/34,217
  6. Step 6: Final answer
    x = 86,764.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.