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Finding the Third Proportional to 3,484.69 and 4,727.53

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Solution

The third proportional to 3,484.69 and 4,727.53 is: 6,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.69 : 4,727.53 = 4,727.53 : x
  2. Step 2: Convert to fraction form
    3,484.69/4,727.53 = 4,727.53/x
  3. Step 3: Cross multiply
    3,484.69x = 4,727.53 × 4,727.53
  4. Step 4: Simplify right side
    3,484.69x = 22,349,551.72
  5. Step 5: Solve for x
    x = 22,349,551.72/3,484.69
  6. Step 6: Final answer
    x = 6,413.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.