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Finding the Third Proportional to 1,503.75 and 2,248.88

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Solution

The third proportional to 1,503.75 and 2,248.88 is: 3,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.75 : 2,248.88 = 2,248.88 : x
  2. Step 2: Convert to fraction form
    1,503.75/2,248.88 = 2,248.88/x
  3. Step 3: Cross multiply
    1,503.75x = 2,248.88 × 2,248.88
  4. Step 4: Simplify right side
    1,503.75x = 5,057,438.77
  5. Step 5: Solve for x
    x = 5,057,438.77/1,503.75
  6. Step 6: Final answer
    x = 3,363.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.