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Finding the Third Proportional to 885.66 and 1,884.38

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Solution

The third proportional to 885.66 and 1,884.38 is: 4,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.66 : 1,884.38 = 1,884.38 : x
  2. Step 2: Convert to fraction form
    885.66/1,884.38 = 1,884.38/x
  3. Step 3: Cross multiply
    885.66x = 1,884.38 × 1,884.38
  4. Step 4: Simplify right side
    885.66x = 3,550,869.14
  5. Step 5: Solve for x
    x = 3,550,869.14/885.66
  6. Step 6: Final answer
    x = 4,009.31

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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.