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Finding the Third Proportional to 6,719.76 and 14,239.71

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Solution

The third proportional to 6,719.76 and 14,239.71 is: 30,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.76 : 14,239.71 = 14,239.71 : x
  2. Step 2: Convert to fraction form
    6,719.76/14,239.71 = 14,239.71/x
  3. Step 3: Cross multiply
    6,719.76x = 14,239.71 × 14,239.71
  4. Step 4: Simplify right side
    6,719.76x = 202,769,200.71
  5. Step 5: Solve for x
    x = 202,769,200.71/6,719.76
  6. Step 6: Final answer
    x = 30,175.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.