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Finding the Third Proportional to 41,307 and 63,827

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Solution

The third proportional to 41,307 and 63,827 is: 98,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,307 : 63,827 = 63,827 : x
  2. Step 2: Convert to fraction form
    41,307/63,827 = 63,827/x
  3. Step 3: Cross multiply
    41,307x = 63,827 × 63,827
  4. Step 4: Simplify right side
    41,307x = 4,073,885,929
  5. Step 5: Solve for x
    x = 4,073,885,929/41,307
  6. Step 6: Final answer
    x = 98,624.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.