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Finding the Third Proportional to 1,009.97 and 2,218.01

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Solution

The third proportional to 1,009.97 and 2,218.01 is: 4,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.97 : 2,218.01 = 2,218.01 : x
  2. Step 2: Convert to fraction form
    1,009.97/2,218.01 = 2,218.01/x
  3. Step 3: Cross multiply
    1,009.97x = 2,218.01 × 2,218.01
  4. Step 4: Simplify right side
    1,009.97x = 4,919,558.66
  5. Step 5: Solve for x
    x = 4,919,558.66/1,009.97
  6. Step 6: Final answer
    x = 4,871.00

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