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Finding the Third Proportional to 40,932 and 63,416.25

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Solution

The third proportional to 40,932 and 63,416.25 is: 98,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,932 : 63,416.25 = 63,416.25 : x
  2. Step 2: Convert to fraction form
    40,932/63,416.25 = 63,416.25/x
  3. Step 3: Cross multiply
    40,932x = 63,416.25 × 63,416.25
  4. Step 4: Simplify right side
    40,932x = 4,021,620,764.06
  5. Step 5: Solve for x
    x = 4,021,620,764.06/40,932
  6. Step 6: Final answer
    x = 98,251.26

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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.