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Finding the Third Proportional to 3,459.90 and 7,049.55

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Solution

The third proportional to 3,459.90 and 7,049.55 is: 14,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.90 : 7,049.55 = 7,049.55 : x
  2. Step 2: Convert to fraction form
    3,459.90/7,049.55 = 7,049.55/x
  3. Step 3: Cross multiply
    3,459.90x = 7,049.55 × 7,049.55
  4. Step 4: Simplify right side
    3,459.90x = 49,696,169.66
  5. Step 5: Solve for x
    x = 49,696,169.66/3,459.90
  6. Step 6: Final answer
    x = 14,363.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.