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Finding the Third Proportional to 2,281.50 and 2,486.25

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Solution

The third proportional to 2,281.50 and 2,486.25 is: 2,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.50 : 2,486.25 = 2,486.25 : x
  2. Step 2: Convert to fraction form
    2,281.50/2,486.25 = 2,486.25/x
  3. Step 3: Cross multiply
    2,281.50x = 2,486.25 × 2,486.25
  4. Step 4: Simplify right side
    2,281.50x = 6,181,439.06
  5. Step 5: Solve for x
    x = 6,181,439.06/2,281.50
  6. Step 6: Final answer
    x = 2,709.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.