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Finding the Third Proportional to 5,266.90 and 11,182.43

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Solution

The third proportional to 5,266.90 and 11,182.43 is: 23,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.90 : 11,182.43 = 11,182.43 : x
  2. Step 2: Convert to fraction form
    5,266.90/11,182.43 = 11,182.43/x
  3. Step 3: Cross multiply
    5,266.90x = 11,182.43 × 11,182.43
  4. Step 4: Simplify right side
    5,266.90x = 125,046,733.72
  5. Step 5: Solve for x
    x = 125,046,733.72/5,266.90
  6. Step 6: Final answer
    x = 23,742.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.