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Finding the Third Proportional to 29,836 and 64,343

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Solution

The third proportional to 29,836 and 64,343 is: 138,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836 : 64,343 = 64,343 : x
  2. Step 2: Convert to fraction form
    29,836/64,343 = 64,343/x
  3. Step 3: Cross multiply
    29,836x = 64,343 × 64,343
  4. Step 4: Simplify right side
    29,836x = 4,140,021,649
  5. Step 5: Solve for x
    x = 4,140,021,649/29,836
  6. Step 6: Final answer
    x = 138,759.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.