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Finding the Third Proportional to 14,120.06 and 30,564.69

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Solution

The third proportional to 14,120.06 and 30,564.69 is: 66,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.06 : 30,564.69 = 30,564.69 : x
  2. Step 2: Convert to fraction form
    14,120.06/30,564.69 = 30,564.69/x
  3. Step 3: Cross multiply
    14,120.06x = 30,564.69 × 30,564.69
  4. Step 4: Simplify right side
    14,120.06x = 934,200,121.97
  5. Step 5: Solve for x
    x = 934,200,121.97/14,120.06
  6. Step 6: Final answer
    x = 66,161.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.