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Finding the Third Proportional to 1,867.50 and 5,033.25

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Solution

The third proportional to 1,867.50 and 5,033.25 is: 13,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.50 : 5,033.25 = 5,033.25 : x
  2. Step 2: Convert to fraction form
    1,867.50/5,033.25 = 5,033.25/x
  3. Step 3: Cross multiply
    1,867.50x = 5,033.25 × 5,033.25
  4. Step 4: Simplify right side
    1,867.50x = 25,333,605.56
  5. Step 5: Solve for x
    x = 25,333,605.56/1,867.50
  6. Step 6: Final answer
    x = 13,565.52

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.