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Finding the Third Proportional to 2,686.92 and 5,035.92

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Solution

The third proportional to 2,686.92 and 5,035.92 is: 9,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.92 : 5,035.92 = 5,035.92 : x
  2. Step 2: Convert to fraction form
    2,686.92/5,035.92 = 5,035.92/x
  3. Step 3: Cross multiply
    2,686.92x = 5,035.92 × 5,035.92
  4. Step 4: Simplify right side
    2,686.92x = 25,360,509.13
  5. Step 5: Solve for x
    x = 25,360,509.13/2,686.92
  6. Step 6: Final answer
    x = 9,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.