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Finding the Third Proportional to 5,502.75 and 7,569.75

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Solution

The third proportional to 5,502.75 and 7,569.75 is: 10,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.75 : 7,569.75 = 7,569.75 : x
  2. Step 2: Convert to fraction form
    5,502.75/7,569.75 = 7,569.75/x
  3. Step 3: Cross multiply
    5,502.75x = 7,569.75 × 7,569.75
  4. Step 4: Simplify right side
    5,502.75x = 57,301,115.06
  5. Step 5: Solve for x
    x = 57,301,115.06/5,502.75
  6. Step 6: Final answer
    x = 10,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.