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Finding the Third Proportional to 10,412 and 22,660

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Solution

The third proportional to 10,412 and 22,660 is: 49,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412 : 22,660 = 22,660 : x
  2. Step 2: Convert to fraction form
    10,412/22,660 = 22,660/x
  3. Step 3: Cross multiply
    10,412x = 22,660 × 22,660
  4. Step 4: Simplify right side
    10,412x = 513,475,600
  5. Step 5: Solve for x
    x = 513,475,600/10,412
  6. Step 6: Final answer
    x = 49,315.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.