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Finding the Third Proportional to 2,366.72 and 3,503.88

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Solution

The third proportional to 2,366.72 and 3,503.88 is: 5,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.72 : 3,503.88 = 3,503.88 : x
  2. Step 2: Convert to fraction form
    2,366.72/3,503.88 = 3,503.88/x
  3. Step 3: Cross multiply
    2,366.72x = 3,503.88 × 3,503.88
  4. Step 4: Simplify right side
    2,366.72x = 12,277,194.76
  5. Step 5: Solve for x
    x = 12,277,194.76/2,366.72
  6. Step 6: Final answer
    x = 5,187.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.