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Finding the Third Proportional to 2,742.50 and 6,019

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Solution

The third proportional to 2,742.50 and 6,019 is: 13,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.50 : 6,019 = 6,019 : x
  2. Step 2: Convert to fraction form
    2,742.50/6,019 = 6,019/x
  3. Step 3: Cross multiply
    2,742.50x = 6,019 × 6,019
  4. Step 4: Simplify right side
    2,742.50x = 36,228,361
  5. Step 5: Solve for x
    x = 36,228,361/2,742.50
  6. Step 6: Final answer
    x = 13,209.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.