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Finding the Third Proportional to 29,680 and 63,967

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Solution

The third proportional to 29,680 and 63,967 is: 137,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680 : 63,967 = 63,967 : x
  2. Step 2: Convert to fraction form
    29,680/63,967 = 63,967/x
  3. Step 3: Cross multiply
    29,680x = 63,967 × 63,967
  4. Step 4: Simplify right side
    29,680x = 4,091,777,089
  5. Step 5: Solve for x
    x = 4,091,777,089/29,680
  6. Step 6: Final answer
    x = 137,863.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.