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Finding the Third Proportional to 18,657 and 27,742.50

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Solution

The third proportional to 18,657 and 27,742.50 is: 41,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 27,742.50 = 27,742.50 : x
  2. Step 2: Convert to fraction form
    18,657/27,742.50 = 27,742.50/x
  3. Step 3: Cross multiply
    18,657x = 27,742.50 × 27,742.50
  4. Step 4: Simplify right side
    18,657x = 769,646,306.25
  5. Step 5: Solve for x
    x = 769,646,306.25/18,657
  6. Step 6: Final answer
    x = 41,252.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.