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Finding the Third Proportional to 2,823.19 and 5,937.47

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Solution

The third proportional to 2,823.19 and 5,937.47 is: 12,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.19 : 5,937.47 = 5,937.47 : x
  2. Step 2: Convert to fraction form
    2,823.19/5,937.47 = 5,937.47/x
  3. Step 3: Cross multiply
    2,823.19x = 5,937.47 × 5,937.47
  4. Step 4: Simplify right side
    2,823.19x = 35,253,535.16
  5. Step 5: Solve for x
    x = 35,253,535.16/2,823.19
  6. Step 6: Final answer
    x = 12,487.14

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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.