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Finding the Third Proportional to 14,716.69 and 18,988.17

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Solution

The third proportional to 14,716.69 and 18,988.17 is: 24,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 18,988.17 = 18,988.17 : x
  2. Step 2: Convert to fraction form
    14,716.69/18,988.17 = 18,988.17/x
  3. Step 3: Cross multiply
    14,716.69x = 18,988.17 × 18,988.17
  4. Step 4: Simplify right side
    14,716.69x = 360,550,671.15
  5. Step 5: Solve for x
    x = 360,550,671.15/14,716.69
  6. Step 6: Final answer
    x = 24,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.