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Finding the Third Proportional to 1,625.06 and 2,613.09

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Solution

The third proportional to 1,625.06 and 2,613.09 is: 4,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.06 : 2,613.09 = 2,613.09 : x
  2. Step 2: Convert to fraction form
    1,625.06/2,613.09 = 2,613.09/x
  3. Step 3: Cross multiply
    1,625.06x = 2,613.09 × 2,613.09
  4. Step 4: Simplify right side
    1,625.06x = 6,828,258.95
  5. Step 5: Solve for x
    x = 6,828,258.95/1,625.06
  6. Step 6: Final answer
    x = 4,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.