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Finding the Third Proportional to 40,701 and 63,015

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Solution

The third proportional to 40,701 and 63,015 is: 97,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,701 : 63,015 = 63,015 : x
  2. Step 2: Convert to fraction form
    40,701/63,015 = 63,015/x
  3. Step 3: Cross multiply
    40,701x = 63,015 × 63,015
  4. Step 4: Simplify right side
    40,701x = 3,970,890,225
  5. Step 5: Solve for x
    x = 3,970,890,225/40,701
  6. Step 6: Final answer
    x = 97,562.47

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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.