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Finding the Third Proportional to 40,218 and 52,887

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Solution

The third proportional to 40,218 and 52,887 is: 69,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,218 : 52,887 = 52,887 : x
  2. Step 2: Convert to fraction form
    40,218/52,887 = 52,887/x
  3. Step 3: Cross multiply
    40,218x = 52,887 × 52,887
  4. Step 4: Simplify right side
    40,218x = 2,797,034,769
  5. Step 5: Solve for x
    x = 2,797,034,769/40,218
  6. Step 6: Final answer
    x = 69,546.84

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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.