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Finding the Third Proportional to 14,716.69 and 20,746.13

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Solution

The third proportional to 14,716.69 and 20,746.13 is: 29,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 20,746.13 = 20,746.13 : x
  2. Step 2: Convert to fraction form
    14,716.69/20,746.13 = 20,746.13/x
  3. Step 3: Cross multiply
    14,716.69x = 20,746.13 × 20,746.13
  4. Step 4: Simplify right side
    14,716.69x = 430,401,702.52
  5. Step 5: Solve for x
    x = 430,401,702.52/14,716.69
  6. Step 6: Final answer
    x = 29,245.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.