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Finding the Third Proportional to 14,314.22 and 18,934.07

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Solution

The third proportional to 14,314.22 and 18,934.07 is: 25,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.22 : 18,934.07 = 18,934.07 : x
  2. Step 2: Convert to fraction form
    14,314.22/18,934.07 = 18,934.07/x
  3. Step 3: Cross multiply
    14,314.22x = 18,934.07 × 18,934.07
  4. Step 4: Simplify right side
    14,314.22x = 358,498,870.68
  5. Step 5: Solve for x
    x = 358,498,870.68/14,314.22
  6. Step 6: Final answer
    x = 25,044.95

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.