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Finding the Third Proportional to 4,511.53 and 6,943.64

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Solution

The third proportional to 4,511.53 and 6,943.64 is: 10,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.53 : 6,943.64 = 6,943.64 : x
  2. Step 2: Convert to fraction form
    4,511.53/6,943.64 = 6,943.64/x
  3. Step 3: Cross multiply
    4,511.53x = 6,943.64 × 6,943.64
  4. Step 4: Simplify right side
    4,511.53x = 48,214,145.13
  5. Step 5: Solve for x
    x = 48,214,145.13/4,511.53
  6. Step 6: Final answer
    x = 10,686.87

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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.