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Finding the Third Proportional to 40,282 and 57,464

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Solution

The third proportional to 40,282 and 57,464 is: 81,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 57,464 = 57,464 : x
  2. Step 2: Convert to fraction form
    40,282/57,464 = 57,464/x
  3. Step 3: Cross multiply
    40,282x = 57,464 × 57,464
  4. Step 4: Simplify right side
    40,282x = 3,302,111,296
  5. Step 5: Solve for x
    x = 3,302,111,296/40,282
  6. Step 6: Final answer
    x = 81,974.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.