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Finding the Third Proportional to 2,117.25 and 3,044.81

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Solution

The third proportional to 2,117.25 and 3,044.81 is: 4,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.25 : 3,044.81 = 3,044.81 : x
  2. Step 2: Convert to fraction form
    2,117.25/3,044.81 = 3,044.81/x
  3. Step 3: Cross multiply
    2,117.25x = 3,044.81 × 3,044.81
  4. Step 4: Simplify right side
    2,117.25x = 9,270,883.16
  5. Step 5: Solve for x
    x = 9,270,883.16/2,117.25
  6. Step 6: Final answer
    x = 4,378.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.