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Finding the Third Proportional to 5,023.13 and 10,182.94

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Solution

The third proportional to 5,023.13 and 10,182.94 is: 20,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.13 : 10,182.94 = 10,182.94 : x
  2. Step 2: Convert to fraction form
    5,023.13/10,182.94 = 10,182.94/x
  3. Step 3: Cross multiply
    5,023.13x = 10,182.94 × 10,182.94
  4. Step 4: Simplify right side
    5,023.13x = 103,692,216.13
  5. Step 5: Solve for x
    x = 103,692,216.13/5,023.13
  6. Step 6: Final answer
    x = 20,642.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.