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Finding the Third Proportional to 948.09 and 2,044.69

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Solution

The third proportional to 948.09 and 2,044.69 is: 4,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.09 : 2,044.69 = 2,044.69 : x
  2. Step 2: Convert to fraction form
    948.09/2,044.69 = 2,044.69/x
  3. Step 3: Cross multiply
    948.09x = 2,044.69 × 2,044.69
  4. Step 4: Simplify right side
    948.09x = 4,180,746.97
  5. Step 5: Solve for x
    x = 4,180,746.97/948.09
  6. Step 6: Final answer
    x = 4,409.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.