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Finding the Third Proportional to 14,240.97 and 31,162.22

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Solution

The third proportional to 14,240.97 and 31,162.22 is: 68,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.97 : 31,162.22 = 31,162.22 : x
  2. Step 2: Convert to fraction form
    14,240.97/31,162.22 = 31,162.22/x
  3. Step 3: Cross multiply
    14,240.97x = 31,162.22 × 31,162.22
  4. Step 4: Simplify right side
    14,240.97x = 971,083,877.42
  5. Step 5: Solve for x
    x = 971,083,877.42/14,240.97
  6. Step 6: Final answer
    x = 68,189.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.