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Finding the Third Proportional to 7,796 and 17,320

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Solution

The third proportional to 7,796 and 17,320 is: 38,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 17,320 = 17,320 : x
  2. Step 2: Convert to fraction form
    7,796/17,320 = 17,320/x
  3. Step 3: Cross multiply
    7,796x = 17,320 × 17,320
  4. Step 4: Simplify right side
    7,796x = 299,982,400
  5. Step 5: Solve for x
    x = 299,982,400/7,796
  6. Step 6: Final answer
    x = 38,479.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.