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Finding the Third Proportional to 4,535.68 and 6,871.71

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Solution

The third proportional to 4,535.68 and 6,871.71 is: 10,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.68 : 6,871.71 = 6,871.71 : x
  2. Step 2: Convert to fraction form
    4,535.68/6,871.71 = 6,871.71/x
  3. Step 3: Cross multiply
    4,535.68x = 6,871.71 × 6,871.71
  4. Step 4: Simplify right side
    4,535.68x = 47,220,411.21
  5. Step 5: Solve for x
    x = 47,220,411.21/4,535.68
  6. Step 6: Final answer
    x = 10,410.87

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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.