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Finding the Third Proportional to 1,018.13 and 2,709.84

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Solution

The third proportional to 1,018.13 and 2,709.84 is: 7,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.13 : 2,709.84 = 2,709.84 : x
  2. Step 2: Convert to fraction form
    1,018.13/2,709.84 = 2,709.84/x
  3. Step 3: Cross multiply
    1,018.13x = 2,709.84 × 2,709.84
  4. Step 4: Simplify right side
    1,018.13x = 7,343,253.15
  5. Step 5: Solve for x
    x = 7,343,253.15/1,018.13
  6. Step 6: Final answer
    x = 7,212.53

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.