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Finding the Third Proportional to 40,701 and 63,656

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Solution

The third proportional to 40,701 and 63,656 is: 99,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,701 : 63,656 = 63,656 : x
  2. Step 2: Convert to fraction form
    40,701/63,656 = 63,656/x
  3. Step 3: Cross multiply
    40,701x = 63,656 × 63,656
  4. Step 4: Simplify right side
    40,701x = 4,052,086,336
  5. Step 5: Solve for x
    x = 4,052,086,336/40,701
  6. Step 6: Final answer
    x = 99,557.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.