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Finding the Third Proportional to 1,112.91 and 2,419.03

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Solution

The third proportional to 1,112.91 and 2,419.03 is: 5,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.91 : 2,419.03 = 2,419.03 : x
  2. Step 2: Convert to fraction form
    1,112.91/2,419.03 = 2,419.03/x
  3. Step 3: Cross multiply
    1,112.91x = 2,419.03 × 2,419.03
  4. Step 4: Simplify right side
    1,112.91x = 5,851,712.19
  5. Step 5: Solve for x
    x = 5,851,712.19/1,112.91
  6. Step 6: Final answer
    x = 5,258.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.