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Finding the Third Proportional to 918.38 and 2,012.63

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Solution

The third proportional to 918.38 and 2,012.63 is: 4,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.38 : 2,012.63 = 2,012.63 : x
  2. Step 2: Convert to fraction form
    918.38/2,012.63 = 2,012.63/x
  3. Step 3: Cross multiply
    918.38x = 2,012.63 × 2,012.63
  4. Step 4: Simplify right side
    918.38x = 4,050,659.39
  5. Step 5: Solve for x
    x = 4,050,659.39/918.38
  6. Step 6: Final answer
    x = 4,410.68

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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.