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Finding the Third Proportional to 5,745.86 and 12,398.70

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Solution

The third proportional to 5,745.86 and 12,398.70 is: 26,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.86 : 12,398.70 = 12,398.70 : x
  2. Step 2: Convert to fraction form
    5,745.86/12,398.70 = 12,398.70/x
  3. Step 3: Cross multiply
    5,745.86x = 12,398.70 × 12,398.70
  4. Step 4: Simplify right side
    5,745.86x = 153,727,645.45
  5. Step 5: Solve for x
    x = 153,727,645.45/5,745.86
  6. Step 6: Final answer
    x = 26,754.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.