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Finding the Third Proportional to 2,143.69 and 2,373.19

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Solution

The third proportional to 2,143.69 and 2,373.19 is: 2,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.69 : 2,373.19 = 2,373.19 : x
  2. Step 2: Convert to fraction form
    2,143.69/2,373.19 = 2,373.19/x
  3. Step 3: Cross multiply
    2,143.69x = 2,373.19 × 2,373.19
  4. Step 4: Simplify right side
    2,143.69x = 5,632,018.91
  5. Step 5: Solve for x
    x = 5,632,018.91/2,143.69
  6. Step 6: Final answer
    x = 2,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.