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Finding the Third Proportional to 4,035.66 and 5,920.59

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Solution

The third proportional to 4,035.66 and 5,920.59 is: 8,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035.66 : 5,920.59 = 5,920.59 : x
  2. Step 2: Convert to fraction form
    4,035.66/5,920.59 = 5,920.59/x
  3. Step 3: Cross multiply
    4,035.66x = 5,920.59 × 5,920.59
  4. Step 4: Simplify right side
    4,035.66x = 35,053,430.35
  5. Step 5: Solve for x
    x = 35,053,430.35/4,035.66
  6. Step 6: Final answer
    x = 8,685.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.