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Finding the Third Proportional to 7,468.13 and 15,701.25

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Solution

The third proportional to 7,468.13 and 15,701.25 is: 33,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.13 : 15,701.25 = 15,701.25 : x
  2. Step 2: Convert to fraction form
    7,468.13/15,701.25 = 15,701.25/x
  3. Step 3: Cross multiply
    7,468.13x = 15,701.25 × 15,701.25
  4. Step 4: Simplify right side
    7,468.13x = 246,529,251.56
  5. Step 5: Solve for x
    x = 246,529,251.56/7,468.13
  6. Step 6: Final answer
    x = 33,010.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.