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Finding the Third Proportional to 4,059.81 and 6,062.66

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Solution

The third proportional to 4,059.81 and 6,062.66 is: 9,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.81 : 6,062.66 = 6,062.66 : x
  2. Step 2: Convert to fraction form
    4,059.81/6,062.66 = 6,062.66/x
  3. Step 3: Cross multiply
    4,059.81x = 6,062.66 × 6,062.66
  4. Step 4: Simplify right side
    4,059.81x = 36,755,848.17
  5. Step 5: Solve for x
    x = 36,755,848.17/4,059.81
  6. Step 6: Final answer
    x = 9,053.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.