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Finding the Third Proportional to 888.05 and 1,897.80

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Solution

The third proportional to 888.05 and 1,897.80 is: 4,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.05 : 1,897.80 = 1,897.80 : x
  2. Step 2: Convert to fraction form
    888.05/1,897.80 = 1,897.80/x
  3. Step 3: Cross multiply
    888.05x = 1,897.80 × 1,897.80
  4. Step 4: Simplify right side
    888.05x = 3,601,662.63
  5. Step 5: Solve for x
    x = 3,601,662.63/888.05
  6. Step 6: Final answer
    x = 4,055.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.