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Finding the Third Proportional to 7,444.13 and 15,967.97

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Solution

The third proportional to 7,444.13 and 15,967.97 is: 34,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.13 : 15,967.97 = 15,967.97 : x
  2. Step 2: Convert to fraction form
    7,444.13/15,967.97 = 15,967.97/x
  3. Step 3: Cross multiply
    7,444.13x = 15,967.97 × 15,967.97
  4. Step 4: Simplify right side
    7,444.13x = 254,976,026.00
  5. Step 5: Solve for x
    x = 254,976,026.00/7,444.13
  6. Step 6: Final answer
    x = 34,251.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.