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Finding the Third Proportional to 5,901.12 and 13,113.42

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Solution

The third proportional to 5,901.12 and 13,113.42 is: 29,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.12 : 13,113.42 = 13,113.42 : x
  2. Step 2: Convert to fraction form
    5,901.12/13,113.42 = 13,113.42/x
  3. Step 3: Cross multiply
    5,901.12x = 13,113.42 × 13,113.42
  4. Step 4: Simplify right side
    5,901.12x = 171,961,833.27
  5. Step 5: Solve for x
    x = 171,961,833.27/5,901.12
  6. Step 6: Final answer
    x = 29,140.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.