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Finding the Third Proportional to 42,856.50 and 95,649

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Solution

The third proportional to 42,856.50 and 95,649 is: 213,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856.50 : 95,649 = 95,649 : x
  2. Step 2: Convert to fraction form
    42,856.50/95,649 = 95,649/x
  3. Step 3: Cross multiply
    42,856.50x = 95,649 × 95,649
  4. Step 4: Simplify right side
    42,856.50x = 9,148,731,201
  5. Step 5: Solve for x
    x = 9,148,731,201/42,856.50
  6. Step 6: Final answer
    x = 213,473.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.