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Finding the Third Proportional to 9,348 and 13,684

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Solution

The third proportional to 9,348 and 13,684 is: 20,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 13,684 = 13,684 : x
  2. Step 2: Convert to fraction form
    9,348/13,684 = 13,684/x
  3. Step 3: Cross multiply
    9,348x = 13,684 × 13,684
  4. Step 4: Simplify right side
    9,348x = 187,251,856
  5. Step 5: Solve for x
    x = 187,251,856/9,348
  6. Step 6: Final answer
    x = 20,031.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.