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Finding the Third Proportional to 14,262.19 and 30,938.91

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Solution

The third proportional to 14,262.19 and 30,938.91 is: 67,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.19 : 30,938.91 = 30,938.91 : x
  2. Step 2: Convert to fraction form
    14,262.19/30,938.91 = 30,938.91/x
  3. Step 3: Cross multiply
    14,262.19x = 30,938.91 × 30,938.91
  4. Step 4: Simplify right side
    14,262.19x = 957,215,919.95
  5. Step 5: Solve for x
    x = 957,215,919.95/14,262.19
  6. Step 6: Final answer
    x = 67,115.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.