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Finding the Third Proportional to 14,785.50 and 31,917

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Solution

The third proportional to 14,785.50 and 31,917 is: 68,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.50 : 31,917 = 31,917 : x
  2. Step 2: Convert to fraction form
    14,785.50/31,917 = 31,917/x
  3. Step 3: Cross multiply
    14,785.50x = 31,917 × 31,917
  4. Step 4: Simplify right side
    14,785.50x = 1,018,694,889
  5. Step 5: Solve for x
    x = 1,018,694,889/14,785.50
  6. Step 6: Final answer
    x = 68,898.24

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Why These Related Problems?

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