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Finding the Third Proportional to 22,358 and 39,856

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Solution

The third proportional to 22,358 and 39,856 is: 71,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 39,856 = 39,856 : x
  2. Step 2: Convert to fraction form
    22,358/39,856 = 39,856/x
  3. Step 3: Cross multiply
    22,358x = 39,856 × 39,856
  4. Step 4: Simplify right side
    22,358x = 1,588,500,736
  5. Step 5: Solve for x
    x = 1,588,500,736/22,358
  6. Step 6: Final answer
    x = 71,048.43

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.