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Finding the Third Proportional to 14,746.22 and 31,839.75

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Solution

The third proportional to 14,746.22 and 31,839.75 is: 68,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.22 : 31,839.75 = 31,839.75 : x
  2. Step 2: Convert to fraction form
    14,746.22/31,839.75 = 31,839.75/x
  3. Step 3: Cross multiply
    14,746.22x = 31,839.75 × 31,839.75
  4. Step 4: Simplify right side
    14,746.22x = 1,013,769,680.06
  5. Step 5: Solve for x
    x = 1,013,769,680.06/14,746.22
  6. Step 6: Final answer
    x = 68,747.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.