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Finding the Third Proportional to 4,510.69 and 6,857.16

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Solution

The third proportional to 4,510.69 and 6,857.16 is: 10,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 6,857.16 = 6,857.16 : x
  2. Step 2: Convert to fraction form
    4,510.69/6,857.16 = 6,857.16/x
  3. Step 3: Cross multiply
    4,510.69x = 6,857.16 × 6,857.16
  4. Step 4: Simplify right side
    4,510.69x = 47,020,591.84
  5. Step 5: Solve for x
    x = 47,020,591.84/4,510.69
  6. Step 6: Final answer
    x = 10,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.