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Finding the Third Proportional to 4,670.75 and 6,939.62

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Solution

The third proportional to 4,670.75 and 6,939.62 is: 10,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.75 : 6,939.62 = 6,939.62 : x
  2. Step 2: Convert to fraction form
    4,670.75/6,939.62 = 6,939.62/x
  3. Step 3: Cross multiply
    4,670.75x = 6,939.62 × 6,939.62
  4. Step 4: Simplify right side
    4,670.75x = 48,158,259.60
  5. Step 5: Solve for x
    x = 48,158,259.60/4,670.75
  6. Step 6: Final answer
    x = 10,310.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.