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Finding the Third Proportional to 9,257 and 14,338

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Solution

The third proportional to 9,257 and 14,338 is: 22,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 14,338 = 14,338 : x
  2. Step 2: Convert to fraction form
    9,257/14,338 = 14,338/x
  3. Step 3: Cross multiply
    9,257x = 14,338 × 14,338
  4. Step 4: Simplify right side
    9,257x = 205,578,244
  5. Step 5: Solve for x
    x = 205,578,244/9,257
  6. Step 6: Final answer
    x = 22,207.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.