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Finding the Third Proportional to 41,008 and 63,220

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Solution

The third proportional to 41,008 and 63,220 is: 97,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,008 : 63,220 = 63,220 : x
  2. Step 2: Convert to fraction form
    41,008/63,220 = 63,220/x
  3. Step 3: Cross multiply
    41,008x = 63,220 × 63,220
  4. Step 4: Simplify right side
    41,008x = 3,996,768,400
  5. Step 5: Solve for x
    x = 3,996,768,400/41,008
  6. Step 6: Final answer
    x = 97,463.14

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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.