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Finding the Third Proportional to 886.78 and 1,859.06

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Solution

The third proportional to 886.78 and 1,859.06 is: 3,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.78 : 1,859.06 = 1,859.06 : x
  2. Step 2: Convert to fraction form
    886.78/1,859.06 = 1,859.06/x
  3. Step 3: Cross multiply
    886.78x = 1,859.06 × 1,859.06
  4. Step 4: Simplify right side
    886.78x = 3,456,113.38
  5. Step 5: Solve for x
    x = 3,456,113.38/886.78
  6. Step 6: Final answer
    x = 3,897.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.