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Finding the Third Proportional to 10,337 and 22,412

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Solution

The third proportional to 10,337 and 22,412 is: 48,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337 : 22,412 = 22,412 : x
  2. Step 2: Convert to fraction form
    10,337/22,412 = 22,412/x
  3. Step 3: Cross multiply
    10,337x = 22,412 × 22,412
  4. Step 4: Simplify right side
    10,337x = 502,297,744
  5. Step 5: Solve for x
    x = 502,297,744/10,337
  6. Step 6: Final answer
    x = 48,592.22

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1.5x scale

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.