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Finding the Third Proportional to 3,484.11 and 6,111.07

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Solution

The third proportional to 3,484.11 and 6,111.07 is: 10,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.11 : 6,111.07 = 6,111.07 : x
  2. Step 2: Convert to fraction form
    3,484.11/6,111.07 = 6,111.07/x
  3. Step 3: Cross multiply
    3,484.11x = 6,111.07 × 6,111.07
  4. Step 4: Simplify right side
    3,484.11x = 37,345,180.36
  5. Step 5: Solve for x
    x = 37,345,180.36/3,484.11
  6. Step 6: Final answer
    x = 10,718.72

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.