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Finding the Third Proportional to 10,279.88 and 15,378.19

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Solution

The third proportional to 10,279.88 and 15,378.19 is: 23,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.88 : 15,378.19 = 15,378.19 : x
  2. Step 2: Convert to fraction form
    10,279.88/15,378.19 = 15,378.19/x
  3. Step 3: Cross multiply
    10,279.88x = 15,378.19 × 15,378.19
  4. Step 4: Simplify right side
    10,279.88x = 236,488,650.79
  5. Step 5: Solve for x
    x = 236,488,650.79/10,279.88
  6. Step 6: Final answer
    x = 23,005.01

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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.