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Finding the Third Proportional to 41,184 and 63,720

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Solution

The third proportional to 41,184 and 63,720 is: 98,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184 : 63,720 = 63,720 : x
  2. Step 2: Convert to fraction form
    41,184/63,720 = 63,720/x
  3. Step 3: Cross multiply
    41,184x = 63,720 × 63,720
  4. Step 4: Simplify right side
    41,184x = 4,060,238,400
  5. Step 5: Solve for x
    x = 4,060,238,400/41,184
  6. Step 6: Final answer
    x = 98,587.76

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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.