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Finding the Third Proportional to 4,204.13 and 5,582.81

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Solution

The third proportional to 4,204.13 and 5,582.81 is: 7,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.13 : 5,582.81 = 5,582.81 : x
  2. Step 2: Convert to fraction form
    4,204.13/5,582.81 = 5,582.81/x
  3. Step 3: Cross multiply
    4,204.13x = 5,582.81 × 5,582.81
  4. Step 4: Simplify right side
    4,204.13x = 31,167,795.41
  5. Step 5: Solve for x
    x = 31,167,795.41/4,204.13
  6. Step 6: Final answer
    x = 7,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.