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Finding the Third Proportional to 29,812 and 62,076

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Solution

The third proportional to 29,812 and 62,076 is: 129,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812 : 62,076 = 62,076 : x
  2. Step 2: Convert to fraction form
    29,812/62,076 = 62,076/x
  3. Step 3: Cross multiply
    29,812x = 62,076 × 62,076
  4. Step 4: Simplify right side
    29,812x = 3,853,429,776
  5. Step 5: Solve for x
    x = 3,853,429,776/29,812
  6. Step 6: Final answer
    x = 129,257.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.