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Finding the Third Proportional to 10,588 and 22,771

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Solution

The third proportional to 10,588 and 22,771 is: 48,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 22,771 = 22,771 : x
  2. Step 2: Convert to fraction form
    10,588/22,771 = 22,771/x
  3. Step 3: Cross multiply
    10,588x = 22,771 × 22,771
  4. Step 4: Simplify right side
    10,588x = 518,518,441
  5. Step 5: Solve for x
    x = 518,518,441/10,588
  6. Step 6: Final answer
    x = 48,972.27

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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.