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Finding the Third Proportional to 882.38 and 1,905.38

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Solution

The third proportional to 882.38 and 1,905.38 is: 4,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,905.38 = 1,905.38 : x
  2. Step 2: Convert to fraction form
    882.38/1,905.38 = 1,905.38/x
  3. Step 3: Cross multiply
    882.38x = 1,905.38 × 1,905.38
  4. Step 4: Simplify right side
    882.38x = 3,630,453.89
  5. Step 5: Solve for x
    x = 3,630,453.89/882.38
  6. Step 6: Final answer
    x = 4,114.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.