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Finding the Third Proportional to 3,373.40 and 6,964.66

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Solution

The third proportional to 3,373.40 and 6,964.66 is: 14,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,373.40 : 6,964.66 = 6,964.66 : x
  2. Step 2: Convert to fraction form
    3,373.40/6,964.66 = 6,964.66/x
  3. Step 3: Cross multiply
    3,373.40x = 6,964.66 × 6,964.66
  4. Step 4: Simplify right side
    3,373.40x = 48,506,423.08
  5. Step 5: Solve for x
    x = 48,506,423.08/3,373.40
  6. Step 6: Final answer
    x = 14,379.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.