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Finding the Third Proportional to 5,462.44 and 11,833.59

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Solution

The third proportional to 5,462.44 and 11,833.59 is: 25,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.44 : 11,833.59 = 11,833.59 : x
  2. Step 2: Convert to fraction form
    5,462.44/11,833.59 = 11,833.59/x
  3. Step 3: Cross multiply
    5,462.44x = 11,833.59 × 11,833.59
  4. Step 4: Simplify right side
    5,462.44x = 140,033,941.04
  5. Step 5: Solve for x
    x = 140,033,941.04/5,462.44
  6. Step 6: Final answer
    x = 25,635.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.