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Finding the Third Proportional to 38,491 and 84,541

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Solution

The third proportional to 38,491 and 84,541 is: 185,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491 : 84,541 = 84,541 : x
  2. Step 2: Convert to fraction form
    38,491/84,541 = 84,541/x
  3. Step 3: Cross multiply
    38,491x = 84,541 × 84,541
  4. Step 4: Simplify right side
    38,491x = 7,147,180,681
  5. Step 5: Solve for x
    x = 7,147,180,681/38,491
  6. Step 6: Final answer
    x = 185,684.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.