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Finding the Third Proportional to 29,818 and 63,084

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Solution

The third proportional to 29,818 and 63,084 is: 133,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818 : 63,084 = 63,084 : x
  2. Step 2: Convert to fraction form
    29,818/63,084 = 63,084/x
  3. Step 3: Cross multiply
    29,818x = 63,084 × 63,084
  4. Step 4: Simplify right side
    29,818x = 3,979,591,056
  5. Step 5: Solve for x
    x = 3,979,591,056/29,818
  6. Step 6: Final answer
    x = 133,462.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.