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Finding the Third Proportional to 10,954.13 and 14,442.75

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Solution

The third proportional to 10,954.13 and 14,442.75 is: 19,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.13 : 14,442.75 = 14,442.75 : x
  2. Step 2: Convert to fraction form
    10,954.13/14,442.75 = 14,442.75/x
  3. Step 3: Cross multiply
    10,954.13x = 14,442.75 × 14,442.75
  4. Step 4: Simplify right side
    10,954.13x = 208,593,027.56
  5. Step 5: Solve for x
    x = 208,593,027.56/10,954.13
  6. Step 6: Final answer
    x = 19,042.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.