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Finding the Third Proportional to 29,856 and 63,248

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Solution

The third proportional to 29,856 and 63,248 is: 133,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856 : 63,248 = 63,248 : x
  2. Step 2: Convert to fraction form
    29,856/63,248 = 63,248/x
  3. Step 3: Cross multiply
    29,856x = 63,248 × 63,248
  4. Step 4: Simplify right side
    29,856x = 4,000,309,504
  5. Step 5: Solve for x
    x = 4,000,309,504/29,856
  6. Step 6: Final answer
    x = 133,986.79

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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.