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Finding the Third Proportional to 3,314.67 and 4,972.01

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Solution

The third proportional to 3,314.67 and 4,972.01 is: 7,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.67 : 4,972.01 = 4,972.01 : x
  2. Step 2: Convert to fraction form
    3,314.67/4,972.01 = 4,972.01/x
  3. Step 3: Cross multiply
    3,314.67x = 4,972.01 × 4,972.01
  4. Step 4: Simplify right side
    3,314.67x = 24,720,861.69
  5. Step 5: Solve for x
    x = 24,720,861.69/3,314.67
  6. Step 6: Final answer
    x = 7,458.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.