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Finding the Third Proportional to 10,384 and 15,684

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Solution

The third proportional to 10,384 and 15,684 is: 23,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384 : 15,684 = 15,684 : x
  2. Step 2: Convert to fraction form
    10,384/15,684 = 15,684/x
  3. Step 3: Cross multiply
    10,384x = 15,684 × 15,684
  4. Step 4: Simplify right side
    10,384x = 245,987,856
  5. Step 5: Solve for x
    x = 245,987,856/10,384
  6. Step 6: Final answer
    x = 23,689.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.