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Finding the Third Proportional to 886.41 and 1,884.89

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Solution

The third proportional to 886.41 and 1,884.89 is: 4,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.41 : 1,884.89 = 1,884.89 : x
  2. Step 2: Convert to fraction form
    886.41/1,884.89 = 1,884.89/x
  3. Step 3: Cross multiply
    886.41x = 1,884.89 × 1,884.89
  4. Step 4: Simplify right side
    886.41x = 3,552,812.67
  5. Step 5: Solve for x
    x = 3,552,812.67/886.41
  6. Step 6: Final answer
    x = 4,008.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.