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Finding the Third Proportional to 29,684 and 64,051

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Solution

The third proportional to 29,684 and 64,051 is: 138,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 64,051 = 64,051 : x
  2. Step 2: Convert to fraction form
    29,684/64,051 = 64,051/x
  3. Step 3: Cross multiply
    29,684x = 64,051 × 64,051
  4. Step 4: Simplify right side
    29,684x = 4,102,530,601
  5. Step 5: Solve for x
    x = 4,102,530,601/29,684
  6. Step 6: Final answer
    x = 138,206.80

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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.