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Finding the Third Proportional to 41,378 and 63,940

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Solution

The third proportional to 41,378 and 63,940 is: 98,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,378 : 63,940 = 63,940 : x
  2. Step 2: Convert to fraction form
    41,378/63,940 = 63,940/x
  3. Step 3: Cross multiply
    41,378x = 63,940 × 63,940
  4. Step 4: Simplify right side
    41,378x = 4,088,323,600
  5. Step 5: Solve for x
    x = 4,088,323,600/41,378
  6. Step 6: Final answer
    x = 98,804.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.