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Finding the Third Proportional to 1,018.51 and 2,216.43

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Solution

The third proportional to 1,018.51 and 2,216.43 is: 4,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.51 : 2,216.43 = 2,216.43 : x
  2. Step 2: Convert to fraction form
    1,018.51/2,216.43 = 2,216.43/x
  3. Step 3: Cross multiply
    1,018.51x = 2,216.43 × 2,216.43
  4. Step 4: Simplify right side
    1,018.51x = 4,912,543.24
  5. Step 5: Solve for x
    x = 4,912,543.24/1,018.51
  6. Step 6: Final answer
    x = 4,823.26

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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.