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Finding the Third Proportional to 41,484 and 63,800

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Solution

The third proportional to 41,484 and 63,800 is: 98,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,484 : 63,800 = 63,800 : x
  2. Step 2: Convert to fraction form
    41,484/63,800 = 63,800/x
  3. Step 3: Cross multiply
    41,484x = 63,800 × 63,800
  4. Step 4: Simplify right side
    41,484x = 4,070,440,000
  5. Step 5: Solve for x
    x = 4,070,440,000/41,484
  6. Step 6: Final answer
    x = 98,120.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.