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Finding the Third Proportional to 1,031.34 and 2,267.72

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Solution

The third proportional to 1,031.34 and 2,267.72 is: 4,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.34 : 2,267.72 = 2,267.72 : x
  2. Step 2: Convert to fraction form
    1,031.34/2,267.72 = 2,267.72/x
  3. Step 3: Cross multiply
    1,031.34x = 2,267.72 × 2,267.72
  4. Step 4: Simplify right side
    1,031.34x = 5,142,548.33
  5. Step 5: Solve for x
    x = 5,142,548.33/1,031.34
  6. Step 6: Final answer
    x = 4,986.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.