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Finding the Third Proportional to 36,446 and 47,856

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Solution

The third proportional to 36,446 and 47,856 is: 62,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,446 : 47,856 = 47,856 : x
  2. Step 2: Convert to fraction form
    36,446/47,856 = 47,856/x
  3. Step 3: Cross multiply
    36,446x = 47,856 × 47,856
  4. Step 4: Simplify right side
    36,446x = 2,290,196,736
  5. Step 5: Solve for x
    x = 2,290,196,736/36,446
  6. Step 6: Final answer
    x = 62,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.