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Finding the Third Proportional to 4,772.67 and 5,410.55

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Solution

The third proportional to 4,772.67 and 5,410.55 is: 6,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 5,410.55 = 5,410.55 : x
  2. Step 2: Convert to fraction form
    4,772.67/5,410.55 = 5,410.55/x
  3. Step 3: Cross multiply
    4,772.67x = 5,410.55 × 5,410.55
  4. Step 4: Simplify right side
    4,772.67x = 29,274,017.49
  5. Step 5: Solve for x
    x = 29,274,017.49/4,772.67
  6. Step 6: Final answer
    x = 6,133.67

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.