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Finding the Third Proportional to 40,557 and 54,250

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Solution

The third proportional to 40,557 and 54,250 is: 72,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,557 : 54,250 = 54,250 : x
  2. Step 2: Convert to fraction form
    40,557/54,250 = 54,250/x
  3. Step 3: Cross multiply
    40,557x = 54,250 × 54,250
  4. Step 4: Simplify right side
    40,557x = 2,943,062,500
  5. Step 5: Solve for x
    x = 2,943,062,500/40,557
  6. Step 6: Final answer
    x = 72,566.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.