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Finding the Third Proportional to 13,884.75 and 22,069.13

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Solution

The third proportional to 13,884.75 and 22,069.13 is: 35,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.75 : 22,069.13 = 22,069.13 : x
  2. Step 2: Convert to fraction form
    13,884.75/22,069.13 = 22,069.13/x
  3. Step 3: Cross multiply
    13,884.75x = 22,069.13 × 22,069.13
  4. Step 4: Simplify right side
    13,884.75x = 487,046,278.27
  5. Step 5: Solve for x
    x = 487,046,278.27/13,884.75
  6. Step 6: Final answer
    x = 35,077.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.