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Finding the Third Proportional to 4,596 and 6,244

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Solution

The third proportional to 4,596 and 6,244 is: 8,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,244 = 6,244 : x
  2. Step 2: Convert to fraction form
    4,596/6,244 = 6,244/x
  3. Step 3: Cross multiply
    4,596x = 6,244 × 6,244
  4. Step 4: Simplify right side
    4,596x = 38,987,536
  5. Step 5: Solve for x
    x = 38,987,536/4,596
  6. Step 6: Final answer
    x = 8,482.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.