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Finding the Third Proportional to 15,801.75 and 34,884

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Solution

The third proportional to 15,801.75 and 34,884 is: 77,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.75 : 34,884 = 34,884 : x
  2. Step 2: Convert to fraction form
    15,801.75/34,884 = 34,884/x
  3. Step 3: Cross multiply
    15,801.75x = 34,884 × 34,884
  4. Step 4: Simplify right side
    15,801.75x = 1,216,893,456
  5. Step 5: Solve for x
    x = 1,216,893,456/15,801.75
  6. Step 6: Final answer
    x = 77,010.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.