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Finding the Third Proportional to 41,520 and 63,816

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Solution

The third proportional to 41,520 and 63,816 is: 98,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520 : 63,816 = 63,816 : x
  2. Step 2: Convert to fraction form
    41,520/63,816 = 63,816/x
  3. Step 3: Cross multiply
    41,520x = 63,816 × 63,816
  4. Step 4: Simplify right side
    41,520x = 4,072,481,856
  5. Step 5: Solve for x
    x = 4,072,481,856/41,520
  6. Step 6: Final answer
    x = 98,084.82

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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.