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Finding the Third Proportional to 7,489.97 and 16,287.28

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Solution

The third proportional to 7,489.97 and 16,287.28 is: 35,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.97 : 16,287.28 = 16,287.28 : x
  2. Step 2: Convert to fraction form
    7,489.97/16,287.28 = 16,287.28/x
  3. Step 3: Cross multiply
    7,489.97x = 16,287.28 × 16,287.28
  4. Step 4: Simplify right side
    7,489.97x = 265,275,530.52
  5. Step 5: Solve for x
    x = 265,275,530.52/7,489.97
  6. Step 6: Final answer
    x = 35,417.44

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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.