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Finding the Third Proportional to 882.35 and 1,918.27

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Solution

The third proportional to 882.35 and 1,918.27 is: 4,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.35 : 1,918.27 = 1,918.27 : x
  2. Step 2: Convert to fraction form
    882.35/1,918.27 = 1,918.27/x
  3. Step 3: Cross multiply
    882.35x = 1,918.27 × 1,918.27
  4. Step 4: Simplify right side
    882.35x = 3,679,743.01
  5. Step 5: Solve for x
    x = 3,679,743.01/882.35
  6. Step 6: Final answer
    x = 4,170.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.