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Finding the Third Proportional to 3,549.94 and 4,964.81

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Solution

The third proportional to 3,549.94 and 4,964.81 is: 6,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.94 : 4,964.81 = 4,964.81 : x
  2. Step 2: Convert to fraction form
    3,549.94/4,964.81 = 4,964.81/x
  3. Step 3: Cross multiply
    3,549.94x = 4,964.81 × 4,964.81
  4. Step 4: Simplify right side
    3,549.94x = 24,649,363.16
  5. Step 5: Solve for x
    x = 24,649,363.16/3,549.94
  6. Step 6: Final answer
    x = 6,943.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.