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Finding the Third Proportional to 13,358.25 and 20,482.88

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Solution

The third proportional to 13,358.25 and 20,482.88 is: 31,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.25 : 20,482.88 = 20,482.88 : x
  2. Step 2: Convert to fraction form
    13,358.25/20,482.88 = 20,482.88/x
  3. Step 3: Cross multiply
    13,358.25x = 20,482.88 × 20,482.88
  4. Step 4: Simplify right side
    13,358.25x = 419,548,168.27
  5. Step 5: Solve for x
    x = 419,548,168.27/13,358.25
  6. Step 6: Final answer
    x = 31,407.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.