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Finding the Third Proportional to 10,324 and 15,302

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Solution

The third proportional to 10,324 and 15,302 is: 22,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 15,302 = 15,302 : x
  2. Step 2: Convert to fraction form
    10,324/15,302 = 15,302/x
  3. Step 3: Cross multiply
    10,324x = 15,302 × 15,302
  4. Step 4: Simplify right side
    10,324x = 234,151,204
  5. Step 5: Solve for x
    x = 234,151,204/10,324
  6. Step 6: Final answer
    x = 22,680.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.