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Finding the Third Proportional to 5,364 and 8,612

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Solution

The third proportional to 5,364 and 8,612 is: 13,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 8,612 = 8,612 : x
  2. Step 2: Convert to fraction form
    5,364/8,612 = 8,612/x
  3. Step 3: Cross multiply
    5,364x = 8,612 × 8,612
  4. Step 4: Simplify right side
    5,364x = 74,166,544
  5. Step 5: Solve for x
    x = 74,166,544/5,364
  6. Step 6: Final answer
    x = 13,826.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.