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Finding the Third Proportional to 1,887.47 and 2,234.67

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Solution

The third proportional to 1,887.47 and 2,234.67 is: 2,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.47 : 2,234.67 = 2,234.67 : x
  2. Step 2: Convert to fraction form
    1,887.47/2,234.67 = 2,234.67/x
  3. Step 3: Cross multiply
    1,887.47x = 2,234.67 × 2,234.67
  4. Step 4: Simplify right side
    1,887.47x = 4,993,758.39
  5. Step 5: Solve for x
    x = 4,993,758.39/1,887.47
  6. Step 6: Final answer
    x = 2,645.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.