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Finding the Third Proportional to 5,356.41 and 11,750.91

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Solution

The third proportional to 5,356.41 and 11,750.91 is: 25,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.41 : 11,750.91 = 11,750.91 : x
  2. Step 2: Convert to fraction form
    5,356.41/11,750.91 = 11,750.91/x
  3. Step 3: Cross multiply
    5,356.41x = 11,750.91 × 11,750.91
  4. Step 4: Simplify right side
    5,356.41x = 138,083,797.70
  5. Step 5: Solve for x
    x = 138,083,797.70/5,356.41
  6. Step 6: Final answer
    x = 25,779.19

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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.