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Finding the Third Proportional to 13,176.38 and 28,367.63

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Solution

The third proportional to 13,176.38 and 28,367.63 is: 61,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.38 : 28,367.63 = 28,367.63 : x
  2. Step 2: Convert to fraction form
    13,176.38/28,367.63 = 28,367.63/x
  3. Step 3: Cross multiply
    13,176.38x = 28,367.63 × 28,367.63
  4. Step 4: Simplify right side
    13,176.38x = 804,722,148.14
  5. Step 5: Solve for x
    x = 804,722,148.14/13,176.38
  6. Step 6: Final answer
    x = 61,073.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.