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Finding the Third Proportional to 31,800 and 46,725

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Solution

The third proportional to 31,800 and 46,725 is: 68,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800 : 46,725 = 46,725 : x
  2. Step 2: Convert to fraction form
    31,800/46,725 = 46,725/x
  3. Step 3: Cross multiply
    31,800x = 46,725 × 46,725
  4. Step 4: Simplify right side
    31,800x = 2,183,225,625
  5. Step 5: Solve for x
    x = 2,183,225,625/31,800
  6. Step 6: Final answer
    x = 68,654.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.