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Finding the Third Proportional to 40,248 and 63,825.75

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Solution

The third proportional to 40,248 and 63,825.75 is: 101,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,248 : 63,825.75 = 63,825.75 : x
  2. Step 2: Convert to fraction form
    40,248/63,825.75 = 63,825.75/x
  3. Step 3: Cross multiply
    40,248x = 63,825.75 × 63,825.75
  4. Step 4: Simplify right side
    40,248x = 4,073,726,363.06
  5. Step 5: Solve for x
    x = 4,073,726,363.06/40,248
  6. Step 6: Final answer
    x = 101,215.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.