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Finding the Third Proportional to 13,366.13 and 20,822.06

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Solution

The third proportional to 13,366.13 and 20,822.06 is: 32,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366.13 : 20,822.06 = 20,822.06 : x
  2. Step 2: Convert to fraction form
    13,366.13/20,822.06 = 20,822.06/x
  3. Step 3: Cross multiply
    13,366.13x = 20,822.06 × 20,822.06
  4. Step 4: Simplify right side
    13,366.13x = 433,558,286.75
  5. Step 5: Solve for x
    x = 433,558,286.75/13,366.13
  6. Step 6: Final answer
    x = 32,437.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.