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Finding the Third Proportional to 1,036.55 and 2,283.82

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Solution

The third proportional to 1,036.55 and 2,283.82 is: 5,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.55 : 2,283.82 = 2,283.82 : x
  2. Step 2: Convert to fraction form
    1,036.55/2,283.82 = 2,283.82/x
  3. Step 3: Cross multiply
    1,036.55x = 2,283.82 × 2,283.82
  4. Step 4: Simplify right side
    1,036.55x = 5,215,835.22
  5. Step 5: Solve for x
    x = 5,215,835.22/1,036.55
  6. Step 6: Final answer
    x = 5,031.93

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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.