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Finding the Third Proportional to 40,251.75 and 52,945.88

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Solution

The third proportional to 40,251.75 and 52,945.88 is: 69,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,251.75 : 52,945.88 = 52,945.88 : x
  2. Step 2: Convert to fraction form
    40,251.75/52,945.88 = 52,945.88/x
  3. Step 3: Cross multiply
    40,251.75x = 52,945.88 × 52,945.88
  4. Step 4: Simplify right side
    40,251.75x = 2,803,265,679.52
  5. Step 5: Solve for x
    x = 2,803,265,679.52/40,251.75
  6. Step 6: Final answer
    x = 69,643.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.