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Finding the Third Proportional to 5,471.77 and 11,987.92

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Solution

The third proportional to 5,471.77 and 11,987.92 is: 26,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.77 : 11,987.92 = 11,987.92 : x
  2. Step 2: Convert to fraction form
    5,471.77/11,987.92 = 11,987.92/x
  3. Step 3: Cross multiply
    5,471.77x = 11,987.92 × 11,987.92
  4. Step 4: Simplify right side
    5,471.77x = 143,710,247.47
  5. Step 5: Solve for x
    x = 143,710,247.47/5,471.77
  6. Step 6: Final answer
    x = 26,263.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.