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Finding the Third Proportional to 6,615.11 and 14,140.04

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Solution

The third proportional to 6,615.11 and 14,140.04 is: 30,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.11 : 14,140.04 = 14,140.04 : x
  2. Step 2: Convert to fraction form
    6,615.11/14,140.04 = 14,140.04/x
  3. Step 3: Cross multiply
    6,615.11x = 14,140.04 × 14,140.04
  4. Step 4: Simplify right side
    6,615.11x = 199,940,649.45
  5. Step 5: Solve for x
    x = 199,940,649.45/6,615.11
  6. Step 6: Final answer
    x = 30,224.86

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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.