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Finding the Third Proportional to 2,913.38 and 6,111.38

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Solution

The third proportional to 2,913.38 and 6,111.38 is: 12,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.38 : 6,111.38 = 6,111.38 : x
  2. Step 2: Convert to fraction form
    2,913.38/6,111.38 = 6,111.38/x
  3. Step 3: Cross multiply
    2,913.38x = 6,111.38 × 6,111.38
  4. Step 4: Simplify right side
    2,913.38x = 37,348,904.39
  5. Step 5: Solve for x
    x = 37,348,904.39/2,913.38
  6. Step 6: Final answer
    x = 12,819.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.