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Finding the Third Proportional to 2,283.56 and 5,012.63

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Solution

The third proportional to 2,283.56 and 5,012.63 is: 11,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.56 : 5,012.63 = 5,012.63 : x
  2. Step 2: Convert to fraction form
    2,283.56/5,012.63 = 5,012.63/x
  3. Step 3: Cross multiply
    2,283.56x = 5,012.63 × 5,012.63
  4. Step 4: Simplify right side
    2,283.56x = 25,126,409.39
  5. Step 5: Solve for x
    x = 25,126,409.39/2,283.56
  6. Step 6: Final answer
    x = 11,003.16

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Why These Related Problems?

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