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Finding the Third Proportional to 982.75 and 2,154.50

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Solution

The third proportional to 982.75 and 2,154.50 is: 4,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.75 : 2,154.50 = 2,154.50 : x
  2. Step 2: Convert to fraction form
    982.75/2,154.50 = 2,154.50/x
  3. Step 3: Cross multiply
    982.75x = 2,154.50 × 2,154.50
  4. Step 4: Simplify right side
    982.75x = 4,641,870.25
  5. Step 5: Solve for x
    x = 4,641,870.25/982.75
  6. Step 6: Final answer
    x = 4,723.35

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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.