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Finding the Third Proportional to 10,400 and 22,310

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Solution

The third proportional to 10,400 and 22,310 is: 47,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 22,310 = 22,310 : x
  2. Step 2: Convert to fraction form
    10,400/22,310 = 22,310/x
  3. Step 3: Cross multiply
    10,400x = 22,310 × 22,310
  4. Step 4: Simplify right side
    10,400x = 497,736,100
  5. Step 5: Solve for x
    x = 497,736,100/10,400
  6. Step 6: Final answer
    x = 47,859.24

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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.