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Finding the Third Proportional to 4,152 and 6,464

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Solution

The third proportional to 4,152 and 6,464 is: 10,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 6,464 = 6,464 : x
  2. Step 2: Convert to fraction form
    4,152/6,464 = 6,464/x
  3. Step 3: Cross multiply
    4,152x = 6,464 × 6,464
  4. Step 4: Simplify right side
    4,152x = 41,783,296
  5. Step 5: Solve for x
    x = 41,783,296/4,152
  6. Step 6: Final answer
    x = 10,063.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.