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Finding the Third Proportional to 6,278.77 and 13,673.81

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Solution

The third proportional to 6,278.77 and 13,673.81 is: 29,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.77 : 13,673.81 = 13,673.81 : x
  2. Step 2: Convert to fraction form
    6,278.77/13,673.81 = 13,673.81/x
  3. Step 3: Cross multiply
    6,278.77x = 13,673.81 × 13,673.81
  4. Step 4: Simplify right side
    6,278.77x = 186,973,148.29
  5. Step 5: Solve for x
    x = 186,973,148.29/6,278.77
  6. Step 6: Final answer
    x = 29,778.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.