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Finding the Third Proportional to 7,976 and 17,484

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Solution

The third proportional to 7,976 and 17,484 is: 38,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976 : 17,484 = 17,484 : x
  2. Step 2: Convert to fraction form
    7,976/17,484 = 17,484/x
  3. Step 3: Cross multiply
    7,976x = 17,484 × 17,484
  4. Step 4: Simplify right side
    7,976x = 305,690,256
  5. Step 5: Solve for x
    x = 305,690,256/7,976
  6. Step 6: Final answer
    x = 38,326.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.