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Finding the Third Proportional to 4,564 and 6,102

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Solution

The third proportional to 4,564 and 6,102 is: 8,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,102 = 6,102 : x
  2. Step 2: Convert to fraction form
    4,564/6,102 = 6,102/x
  3. Step 3: Cross multiply
    4,564x = 6,102 × 6,102
  4. Step 4: Simplify right side
    4,564x = 37,234,404
  5. Step 5: Solve for x
    x = 37,234,404/4,564
  6. Step 6: Final answer
    x = 8,158.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.