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Finding the Third Proportional to 1,510.21 and 2,263.89

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Solution

The third proportional to 1,510.21 and 2,263.89 is: 3,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.21 : 2,263.89 = 2,263.89 : x
  2. Step 2: Convert to fraction form
    1,510.21/2,263.89 = 2,263.89/x
  3. Step 3: Cross multiply
    1,510.21x = 2,263.89 × 2,263.89
  4. Step 4: Simplify right side
    1,510.21x = 5,125,183.08
  5. Step 5: Solve for x
    x = 5,125,183.08/1,510.21
  6. Step 6: Final answer
    x = 3,393.70

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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.