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Finding the Third Proportional to 29,676 and 63,492

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Solution

The third proportional to 29,676 and 63,492 is: 135,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676 : 63,492 = 63,492 : x
  2. Step 2: Convert to fraction form
    29,676/63,492 = 63,492/x
  3. Step 3: Cross multiply
    29,676x = 63,492 × 63,492
  4. Step 4: Simplify right side
    29,676x = 4,031,234,064
  5. Step 5: Solve for x
    x = 4,031,234,064/29,676
  6. Step 6: Final answer
    x = 135,841.56

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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.