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Finding the Third Proportional to 1,036 and 2,264

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Solution

The third proportional to 1,036 and 2,264 is: 4,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036 : 2,264 = 2,264 : x
  2. Step 2: Convert to fraction form
    1,036/2,264 = 2,264/x
  3. Step 3: Cross multiply
    1,036x = 2,264 × 2,264
  4. Step 4: Simplify right side
    1,036x = 5,125,696
  5. Step 5: Solve for x
    x = 5,125,696/1,036
  6. Step 6: Final answer
    x = 4,947.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.