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Finding the Third Proportional to 8,928.25 and 13,348.65

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Solution

The third proportional to 8,928.25 and 13,348.65 is: 19,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.25 : 13,348.65 = 13,348.65 : x
  2. Step 2: Convert to fraction form
    8,928.25/13,348.65 = 13,348.65/x
  3. Step 3: Cross multiply
    8,928.25x = 13,348.65 × 13,348.65
  4. Step 4: Simplify right side
    8,928.25x = 178,186,519.39
  5. Step 5: Solve for x
    x = 178,186,519.39/8,928.25
  6. Step 6: Final answer
    x = 19,957.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.