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Finding the Third Proportional to 10,448 and 22,412

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Solution

The third proportional to 10,448 and 22,412 is: 48,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448 : 22,412 = 22,412 : x
  2. Step 2: Convert to fraction form
    10,448/22,412 = 22,412/x
  3. Step 3: Cross multiply
    10,448x = 22,412 × 22,412
  4. Step 4: Simplify right side
    10,448x = 502,297,744
  5. Step 5: Solve for x
    x = 502,297,744/10,448
  6. Step 6: Final answer
    x = 48,075.97

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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.