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Finding the Third Proportional to 7,921.97 and 17,223.47

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Solution

The third proportional to 7,921.97 and 17,223.47 is: 37,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.97 : 17,223.47 = 17,223.47 : x
  2. Step 2: Convert to fraction form
    7,921.97/17,223.47 = 17,223.47/x
  3. Step 3: Cross multiply
    7,921.97x = 17,223.47 × 17,223.47
  4. Step 4: Simplify right side
    7,921.97x = 296,647,875.78
  5. Step 5: Solve for x
    x = 296,647,875.78/7,921.97
  6. Step 6: Final answer
    x = 37,446.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.