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Finding the Third Proportional to 748.93 and 1,557.67

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Solution

The third proportional to 748.93 and 1,557.67 is: 3,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.93 : 1,557.67 = 1,557.67 : x
  2. Step 2: Convert to fraction form
    748.93/1,557.67 = 1,557.67/x
  3. Step 3: Cross multiply
    748.93x = 1,557.67 × 1,557.67
  4. Step 4: Simplify right side
    748.93x = 2,426,329.50
  5. Step 5: Solve for x
    x = 2,426,329.50/748.93
  6. Step 6: Final answer
    x = 3,239.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.