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Finding the Third Proportional to 40,378 and 60,931

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Solution

The third proportional to 40,378 and 60,931 is: 91,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 60,931 = 60,931 : x
  2. Step 2: Convert to fraction form
    40,378/60,931 = 60,931/x
  3. Step 3: Cross multiply
    40,378x = 60,931 × 60,931
  4. Step 4: Simplify right side
    40,378x = 3,712,586,761
  5. Step 5: Solve for x
    x = 3,712,586,761/40,378
  6. Step 6: Final answer
    x = 91,945.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.