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Finding the Third Proportional to 2,443.75 and 5,373.50

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Solution

The third proportional to 2,443.75 and 5,373.50 is: 11,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.75 : 5,373.50 = 5,373.50 : x
  2. Step 2: Convert to fraction form
    2,443.75/5,373.50 = 5,373.50/x
  3. Step 3: Cross multiply
    2,443.75x = 5,373.50 × 5,373.50
  4. Step 4: Simplify right side
    2,443.75x = 28,874,502.25
  5. Step 5: Solve for x
    x = 28,874,502.25/2,443.75
  6. Step 6: Final answer
    x = 11,815.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.