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Finding the Third Proportional to 8,488.13 and 14,144.63

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Solution

The third proportional to 8,488.13 and 14,144.63 is: 23,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.13 : 14,144.63 = 14,144.63 : x
  2. Step 2: Convert to fraction form
    8,488.13/14,144.63 = 14,144.63/x
  3. Step 3: Cross multiply
    8,488.13x = 14,144.63 × 14,144.63
  4. Step 4: Simplify right side
    8,488.13x = 200,070,416.39
  5. Step 5: Solve for x
    x = 200,070,416.39/8,488.13
  6. Step 6: Final answer
    x = 23,570.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.