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Finding the Third Proportional to 9,208 and 14,357

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Solution

The third proportional to 9,208 and 14,357 is: 22,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 14,357 = 14,357 : x
  2. Step 2: Convert to fraction form
    9,208/14,357 = 14,357/x
  3. Step 3: Cross multiply
    9,208x = 14,357 × 14,357
  4. Step 4: Simplify right side
    9,208x = 206,123,449
  5. Step 5: Solve for x
    x = 206,123,449/9,208
  6. Step 6: Final answer
    x = 22,385.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.