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Finding the Third Proportional to 1,448.16 and 2,244.23

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Solution

The third proportional to 1,448.16 and 2,244.23 is: 3,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.16 : 2,244.23 = 2,244.23 : x
  2. Step 2: Convert to fraction form
    1,448.16/2,244.23 = 2,244.23/x
  3. Step 3: Cross multiply
    1,448.16x = 2,244.23 × 2,244.23
  4. Step 4: Simplify right side
    1,448.16x = 5,036,587.93
  5. Step 5: Solve for x
    x = 5,036,587.93/1,448.16
  6. Step 6: Final answer
    x = 3,477.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.