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Finding the Third Proportional to 29,493 and 64,169

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Solution

The third proportional to 29,493 and 64,169 is: 139,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493 : 64,169 = 64,169 : x
  2. Step 2: Convert to fraction form
    29,493/64,169 = 64,169/x
  3. Step 3: Cross multiply
    29,493x = 64,169 × 64,169
  4. Step 4: Simplify right side
    29,493x = 4,117,660,561
  5. Step 5: Solve for x
    x = 4,117,660,561/29,493
  6. Step 6: Final answer
    x = 139,614.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.