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Finding the Third Proportional to 1,671.89 and 2,600.23

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Solution

The third proportional to 1,671.89 and 2,600.23 is: 4,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.89 : 2,600.23 = 2,600.23 : x
  2. Step 2: Convert to fraction form
    1,671.89/2,600.23 = 2,600.23/x
  3. Step 3: Cross multiply
    1,671.89x = 2,600.23 × 2,600.23
  4. Step 4: Simplify right side
    1,671.89x = 6,761,178.18
  5. Step 5: Solve for x
    x = 6,761,178.18/1,671.89
  6. Step 6: Final answer
    x = 4,044.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.