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Finding the Third Proportional to 3,444.19 and 7,187.70

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Solution

The third proportional to 3,444.19 and 7,187.70 is: 15,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.19 : 7,187.70 = 7,187.70 : x
  2. Step 2: Convert to fraction form
    3,444.19/7,187.70 = 7,187.70/x
  3. Step 3: Cross multiply
    3,444.19x = 7,187.70 × 7,187.70
  4. Step 4: Simplify right side
    3,444.19x = 51,662,963.91
  5. Step 5: Solve for x
    x = 51,662,963.91/3,444.19
  6. Step 6: Final answer
    x = 15,000.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.