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Finding the Third Proportional to 1,037.63 and 2,263.13

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Solution

The third proportional to 1,037.63 and 2,263.13 is: 4,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.63 : 2,263.13 = 2,263.13 : x
  2. Step 2: Convert to fraction form
    1,037.63/2,263.13 = 2,263.13/x
  3. Step 3: Cross multiply
    1,037.63x = 2,263.13 × 2,263.13
  4. Step 4: Simplify right side
    1,037.63x = 5,121,734.77
  5. Step 5: Solve for x
    x = 5,121,734.77/1,037.63
  6. Step 6: Final answer
    x = 4,936.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.