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Finding the Third Proportional to 29,308 and 63,800

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Solution

The third proportional to 29,308 and 63,800 is: 138,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,308 : 63,800 = 63,800 : x
  2. Step 2: Convert to fraction form
    29,308/63,800 = 63,800/x
  3. Step 3: Cross multiply
    29,308x = 63,800 × 63,800
  4. Step 4: Simplify right side
    29,308x = 4,070,440,000
  5. Step 5: Solve for x
    x = 4,070,440,000/29,308
  6. Step 6: Final answer
    x = 138,884.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.