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Finding the Third Proportional to 1,401.05 and 3,605.13

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Solution

The third proportional to 1,401.05 and 3,605.13 is: 9,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.05 : 3,605.13 = 3,605.13 : x
  2. Step 2: Convert to fraction form
    1,401.05/3,605.13 = 3,605.13/x
  3. Step 3: Cross multiply
    1,401.05x = 3,605.13 × 3,605.13
  4. Step 4: Simplify right side
    1,401.05x = 12,996,982.60
  5. Step 5: Solve for x
    x = 12,996,982.60/1,401.05
  6. Step 6: Final answer
    x = 9,276.62

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.