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Finding the Third Proportional to 41,478 and 63,945

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Solution

The third proportional to 41,478 and 63,945 is: 98,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478 : 63,945 = 63,945 : x
  2. Step 2: Convert to fraction form
    41,478/63,945 = 63,945/x
  3. Step 3: Cross multiply
    41,478x = 63,945 × 63,945
  4. Step 4: Simplify right side
    41,478x = 4,088,963,025
  5. Step 5: Solve for x
    x = 4,088,963,025/41,478
  6. Step 6: Final answer
    x = 98,581.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.