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Finding the Third Proportional to 2,170.50 and 4,980.75

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Solution

The third proportional to 2,170.50 and 4,980.75 is: 11,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.50 : 4,980.75 = 4,980.75 : x
  2. Step 2: Convert to fraction form
    2,170.50/4,980.75 = 4,980.75/x
  3. Step 3: Cross multiply
    2,170.50x = 4,980.75 × 4,980.75
  4. Step 4: Simplify right side
    2,170.50x = 24,807,870.56
  5. Step 5: Solve for x
    x = 24,807,870.56/2,170.50
  6. Step 6: Final answer
    x = 11,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.