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Finding the Third Proportional to 882.14 and 1,918.05

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Solution

The third proportional to 882.14 and 1,918.05 is: 4,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,918.05 = 1,918.05 : x
  2. Step 2: Convert to fraction form
    882.14/1,918.05 = 1,918.05/x
  3. Step 3: Cross multiply
    882.14x = 1,918.05 × 1,918.05
  4. Step 4: Simplify right side
    882.14x = 3,678,933.78
  5. Step 5: Solve for x
    x = 3,678,933.78/882.14
  6. Step 6: Final answer
    x = 4,170.46

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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.