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Finding the Third Proportional to 6,701.06 and 14,324.34

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Solution

The third proportional to 6,701.06 and 14,324.34 is: 30,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.06 : 14,324.34 = 14,324.34 : x
  2. Step 2: Convert to fraction form
    6,701.06/14,324.34 = 14,324.34/x
  3. Step 3: Cross multiply
    6,701.06x = 14,324.34 × 14,324.34
  4. Step 4: Simplify right side
    6,701.06x = 205,186,823.87
  5. Step 5: Solve for x
    x = 205,186,823.87/6,701.06
  6. Step 6: Final answer
    x = 30,620.04

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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.