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Finding the Third Proportional to 3,890 and 9,671

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Solution

The third proportional to 3,890 and 9,671 is: 24,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 9,671 = 9,671 : x
  2. Step 2: Convert to fraction form
    3,890/9,671 = 9,671/x
  3. Step 3: Cross multiply
    3,890x = 9,671 × 9,671
  4. Step 4: Simplify right side
    3,890x = 93,528,241
  5. Step 5: Solve for x
    x = 93,528,241/3,890
  6. Step 6: Final answer
    x = 24,043.25

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.