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Finding the Third Proportional to 40,856.25 and 63,129.75

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Solution

The third proportional to 40,856.25 and 63,129.75 is: 97,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,856.25 : 63,129.75 = 63,129.75 : x
  2. Step 2: Convert to fraction form
    40,856.25/63,129.75 = 63,129.75/x
  3. Step 3: Cross multiply
    40,856.25x = 63,129.75 × 63,129.75
  4. Step 4: Simplify right side
    40,856.25x = 3,985,365,335.06
  5. Step 5: Solve for x
    x = 3,985,365,335.06/40,856.25
  6. Step 6: Final answer
    x = 97,546.04

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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.