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Finding the Third Proportional to 2,165.17 and 4,734.70

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Solution

The third proportional to 2,165.17 and 4,734.70 is: 10,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.17 : 4,734.70 = 4,734.70 : x
  2. Step 2: Convert to fraction form
    2,165.17/4,734.70 = 4,734.70/x
  3. Step 3: Cross multiply
    2,165.17x = 4,734.70 × 4,734.70
  4. Step 4: Simplify right side
    2,165.17x = 22,417,413.68
  5. Step 5: Solve for x
    x = 22,417,413.68/2,165.17
  6. Step 6: Final answer
    x = 10,353.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.