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Finding the Third Proportional to 1,707.53 and 2,401.11

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Solution

The third proportional to 1,707.53 and 2,401.11 is: 3,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.53 : 2,401.11 = 2,401.11 : x
  2. Step 2: Convert to fraction form
    1,707.53/2,401.11 = 2,401.11/x
  3. Step 3: Cross multiply
    1,707.53x = 2,401.11 × 2,401.11
  4. Step 4: Simplify right side
    1,707.53x = 5,765,320.37
  5. Step 5: Solve for x
    x = 5,765,320.37/1,707.53
  6. Step 6: Final answer
    x = 3,376.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.