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Finding the Third Proportional to 10,580 and 22,922

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Solution

The third proportional to 10,580 and 22,922 is: 49,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 22,922 = 22,922 : x
  2. Step 2: Convert to fraction form
    10,580/22,922 = 22,922/x
  3. Step 3: Cross multiply
    10,580x = 22,922 × 22,922
  4. Step 4: Simplify right side
    10,580x = 525,418,084
  5. Step 5: Solve for x
    x = 525,418,084/10,580
  6. Step 6: Final answer
    x = 49,661.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.