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Finding the Third Proportional to 4,510.69 and 10,464.19

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Solution

The third proportional to 4,510.69 and 10,464.19 is: 24,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 10,464.19 = 10,464.19 : x
  2. Step 2: Convert to fraction form
    4,510.69/10,464.19 = 10,464.19/x
  3. Step 3: Cross multiply
    4,510.69x = 10,464.19 × 10,464.19
  4. Step 4: Simplify right side
    4,510.69x = 109,499,220.04
  5. Step 5: Solve for x
    x = 109,499,220.04/4,510.69
  6. Step 6: Final answer
    x = 24,275.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.