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Finding the Third Proportional to 4,937.20 and 6,651.49

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Solution

The third proportional to 4,937.20 and 6,651.49 is: 8,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.20 : 6,651.49 = 6,651.49 : x
  2. Step 2: Convert to fraction form
    4,937.20/6,651.49 = 6,651.49/x
  3. Step 3: Cross multiply
    4,937.20x = 6,651.49 × 6,651.49
  4. Step 4: Simplify right side
    4,937.20x = 44,242,348.32
  5. Step 5: Solve for x
    x = 44,242,348.32/4,937.20
  6. Step 6: Final answer
    x = 8,961.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.