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Finding the Third Proportional to 3,428 and 4,982.50

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Solution

The third proportional to 3,428 and 4,982.50 is: 7,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428 : 4,982.50 = 4,982.50 : x
  2. Step 2: Convert to fraction form
    3,428/4,982.50 = 4,982.50/x
  3. Step 3: Cross multiply
    3,428x = 4,982.50 × 4,982.50
  4. Step 4: Simplify right side
    3,428x = 24,825,306.25
  5. Step 5: Solve for x
    x = 24,825,306.25/3,428
  6. Step 6: Final answer
    x = 7,241.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.