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Finding the Third Proportional to 3,262.78 and 4,970.67

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Solution

The third proportional to 3,262.78 and 4,970.67 is: 7,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.78 : 4,970.67 = 4,970.67 : x
  2. Step 2: Convert to fraction form
    3,262.78/4,970.67 = 4,970.67/x
  3. Step 3: Cross multiply
    3,262.78x = 4,970.67 × 4,970.67
  4. Step 4: Simplify right side
    3,262.78x = 24,707,578.89
  5. Step 5: Solve for x
    x = 24,707,578.89/3,262.78
  6. Step 6: Final answer
    x = 7,572.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.