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Finding the Third Proportional to 4,872.66 and 7,202.67

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Solution

The third proportional to 4,872.66 and 7,202.67 is: 10,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 7,202.67 = 7,202.67 : x
  2. Step 2: Convert to fraction form
    4,872.66/7,202.67 = 7,202.67/x
  3. Step 3: Cross multiply
    4,872.66x = 7,202.67 × 7,202.67
  4. Step 4: Simplify right side
    4,872.66x = 51,878,482.14
  5. Step 5: Solve for x
    x = 51,878,482.14/4,872.66
  6. Step 6: Final answer
    x = 10,646.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.