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Finding the Third Proportional to 29,907 and 64,764

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Solution

The third proportional to 29,907 and 64,764 is: 140,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 64,764 = 64,764 : x
  2. Step 2: Convert to fraction form
    29,907/64,764 = 64,764/x
  3. Step 3: Cross multiply
    29,907x = 64,764 × 64,764
  4. Step 4: Simplify right side
    29,907x = 4,194,375,696
  5. Step 5: Solve for x
    x = 4,194,375,696/29,907
  6. Step 6: Final answer
    x = 140,247.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.