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Finding the Third Proportional to 9,514 and 15,203

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Solution

The third proportional to 9,514 and 15,203 is: 24,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514 : 15,203 = 15,203 : x
  2. Step 2: Convert to fraction form
    9,514/15,203 = 15,203/x
  3. Step 3: Cross multiply
    9,514x = 15,203 × 15,203
  4. Step 4: Simplify right side
    9,514x = 231,131,209
  5. Step 5: Solve for x
    x = 231,131,209/9,514
  6. Step 6: Final answer
    x = 24,293.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.