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Finding the Third Proportional to 6,701.22 and 14,322.71

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Solution

The third proportional to 6,701.22 and 14,322.71 is: 30,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.22 : 14,322.71 = 14,322.71 : x
  2. Step 2: Convert to fraction form
    6,701.22/14,322.71 = 14,322.71/x
  3. Step 3: Cross multiply
    6,701.22x = 14,322.71 × 14,322.71
  4. Step 4: Simplify right side
    6,701.22x = 205,139,992.65
  5. Step 5: Solve for x
    x = 205,139,992.65/6,701.22
  6. Step 6: Final answer
    x = 30,612.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.