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Finding the Third Proportional to 1,152.83 and 2,500.72

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Solution

The third proportional to 1,152.83 and 2,500.72 is: 5,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 2,500.72 = 2,500.72 : x
  2. Step 2: Convert to fraction form
    1,152.83/2,500.72 = 2,500.72/x
  3. Step 3: Cross multiply
    1,152.83x = 2,500.72 × 2,500.72
  4. Step 4: Simplify right side
    1,152.83x = 6,253,584.50
  5. Step 5: Solve for x
    x = 6,253,584.50/1,152.83
  6. Step 6: Final answer
    x = 5,424.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.