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Finding the Third Proportional to 10,954.13 and 15,868.13

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Solution

The third proportional to 10,954.13 and 15,868.13 is: 22,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.13 : 15,868.13 = 15,868.13 : x
  2. Step 2: Convert to fraction form
    10,954.13/15,868.13 = 15,868.13/x
  3. Step 3: Cross multiply
    10,954.13x = 15,868.13 × 15,868.13
  4. Step 4: Simplify right side
    10,954.13x = 251,797,391.02
  5. Step 5: Solve for x
    x = 251,797,391.02/10,954.13
  6. Step 6: Final answer
    x = 22,986.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.