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Finding the Third Proportional to 36,446 and 78,478

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Solution

The third proportional to 36,446 and 78,478 is: 168,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,446 : 78,478 = 78,478 : x
  2. Step 2: Convert to fraction form
    36,446/78,478 = 78,478/x
  3. Step 3: Cross multiply
    36,446x = 78,478 × 78,478
  4. Step 4: Simplify right side
    36,446x = 6,158,796,484
  5. Step 5: Solve for x
    x = 6,158,796,484/36,446
  6. Step 6: Final answer
    x = 168,984.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.