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Finding the Third Proportional to 4,364 and 6,649

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Solution

The third proportional to 4,364 and 6,649 is: 10,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 6,649 = 6,649 : x
  2. Step 2: Convert to fraction form
    4,364/6,649 = 6,649/x
  3. Step 3: Cross multiply
    4,364x = 6,649 × 6,649
  4. Step 4: Simplify right side
    4,364x = 44,209,201
  5. Step 5: Solve for x
    x = 44,209,201/4,364
  6. Step 6: Final answer
    x = 10,130.43

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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.