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Finding the Third Proportional to 1,626.01 and 3,525.40

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Solution

The third proportional to 1,626.01 and 3,525.40 is: 7,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.01 : 3,525.40 = 3,525.40 : x
  2. Step 2: Convert to fraction form
    1,626.01/3,525.40 = 3,525.40/x
  3. Step 3: Cross multiply
    1,626.01x = 3,525.40 × 3,525.40
  4. Step 4: Simplify right side
    1,626.01x = 12,428,434.14
  5. Step 5: Solve for x
    x = 12,428,434.14/1,626.01
  6. Step 6: Final answer
    x = 7,643.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.