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Finding the Third Proportional to 1,013.06 and 1,625.91

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Solution

The third proportional to 1,013.06 and 1,625.91 is: 2,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.06 : 1,625.91 = 1,625.91 : x
  2. Step 2: Convert to fraction form
    1,013.06/1,625.91 = 1,625.91/x
  3. Step 3: Cross multiply
    1,013.06x = 1,625.91 × 1,625.91
  4. Step 4: Simplify right side
    1,013.06x = 2,643,571.13
  5. Step 5: Solve for x
    x = 2,643,571.13/1,013.06
  6. Step 6: Final answer
    x = 2,609.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.