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Finding the Third Proportional to 14,077.13 and 30,765.66

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Solution

The third proportional to 14,077.13 and 30,765.66 is: 67,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.13 : 30,765.66 = 30,765.66 : x
  2. Step 2: Convert to fraction form
    14,077.13/30,765.66 = 30,765.66/x
  3. Step 3: Cross multiply
    14,077.13x = 30,765.66 × 30,765.66
  4. Step 4: Simplify right side
    14,077.13x = 946,525,604.49
  5. Step 5: Solve for x
    x = 946,525,604.49/14,077.13
  6. Step 6: Final answer
    x = 67,238.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.