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Finding the Third Proportional to 5,492 and 10,378

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Solution

The third proportional to 5,492 and 10,378 is: 19,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 10,378 = 10,378 : x
  2. Step 2: Convert to fraction form
    5,492/10,378 = 10,378/x
  3. Step 3: Cross multiply
    5,492x = 10,378 × 10,378
  4. Step 4: Simplify right side
    5,492x = 107,702,884
  5. Step 5: Solve for x
    x = 107,702,884/5,492
  6. Step 6: Final answer
    x = 19,610.87

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.