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Finding the Third Proportional to 3,608.93 and 4,865.70

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Solution

The third proportional to 3,608.93 and 4,865.70 is: 6,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.93 : 4,865.70 = 4,865.70 : x
  2. Step 2: Convert to fraction form
    3,608.93/4,865.70 = 4,865.70/x
  3. Step 3: Cross multiply
    3,608.93x = 4,865.70 × 4,865.70
  4. Step 4: Simplify right side
    3,608.93x = 23,674,990.87
  5. Step 5: Solve for x
    x = 23,674,990.87/3,608.93
  6. Step 6: Final answer
    x = 6,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.