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Finding the Third Proportional to 3,642 and 8,637

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Solution

The third proportional to 3,642 and 8,637 is: 20,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 8,637 = 8,637 : x
  2. Step 2: Convert to fraction form
    3,642/8,637 = 8,637/x
  3. Step 3: Cross multiply
    3,642x = 8,637 × 8,637
  4. Step 4: Simplify right side
    3,642x = 74,597,769
  5. Step 5: Solve for x
    x = 74,597,769/3,642
  6. Step 6: Final answer
    x = 20,482.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.