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Finding the Third Proportional to 2,709.07 and 4,117.71

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Solution

The third proportional to 2,709.07 and 4,117.71 is: 6,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.07 : 4,117.71 = 4,117.71 : x
  2. Step 2: Convert to fraction form
    2,709.07/4,117.71 = 4,117.71/x
  3. Step 3: Cross multiply
    2,709.07x = 4,117.71 × 4,117.71
  4. Step 4: Simplify right side
    2,709.07x = 16,955,543.36
  5. Step 5: Solve for x
    x = 16,955,543.36/2,709.07
  6. Step 6: Final answer
    x = 6,258.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.