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Finding the Third Proportional to 40,716 and 63,216

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Solution

The third proportional to 40,716 and 63,216 is: 98,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,716 : 63,216 = 63,216 : x
  2. Step 2: Convert to fraction form
    40,716/63,216 = 63,216/x
  3. Step 3: Cross multiply
    40,716x = 63,216 × 63,216
  4. Step 4: Simplify right side
    40,716x = 3,996,262,656
  5. Step 5: Solve for x
    x = 3,996,262,656/40,716
  6. Step 6: Final answer
    x = 98,149.69

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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.