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Finding the Third Proportional to 4,650.75 and 7,159.22

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Solution

The third proportional to 4,650.75 and 7,159.22 is: 11,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.75 : 7,159.22 = 7,159.22 : x
  2. Step 2: Convert to fraction form
    4,650.75/7,159.22 = 7,159.22/x
  3. Step 3: Cross multiply
    4,650.75x = 7,159.22 × 7,159.22
  4. Step 4: Simplify right side
    4,650.75x = 51,254,413.11
  5. Step 5: Solve for x
    x = 51,254,413.11/4,650.75
  6. Step 6: Final answer
    x = 11,020.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.