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Finding the Third Proportional to 29,924 and 63,004

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Solution

The third proportional to 29,924 and 63,004 is: 132,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924 : 63,004 = 63,004 : x
  2. Step 2: Convert to fraction form
    29,924/63,004 = 63,004/x
  3. Step 3: Cross multiply
    29,924x = 63,004 × 63,004
  4. Step 4: Simplify right side
    29,924x = 3,969,504,016
  5. Step 5: Solve for x
    x = 3,969,504,016/29,924
  6. Step 6: Final answer
    x = 132,652.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.