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Finding the Third Proportional to 10,380 and 15,534

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Solution

The third proportional to 10,380 and 15,534 is: 23,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 15,534 = 15,534 : x
  2. Step 2: Convert to fraction form
    10,380/15,534 = 15,534/x
  3. Step 3: Cross multiply
    10,380x = 15,534 × 15,534
  4. Step 4: Simplify right side
    10,380x = 241,305,156
  5. Step 5: Solve for x
    x = 241,305,156/10,380
  6. Step 6: Final answer
    x = 23,247.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.