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Finding the Third Proportional to 29,061 and 64,698

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Solution

The third proportional to 29,061 and 64,698 is: 144,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,061 : 64,698 = 64,698 : x
  2. Step 2: Convert to fraction form
    29,061/64,698 = 64,698/x
  3. Step 3: Cross multiply
    29,061x = 64,698 × 64,698
  4. Step 4: Simplify right side
    29,061x = 4,185,831,204
  5. Step 5: Solve for x
    x = 4,185,831,204/29,061
  6. Step 6: Final answer
    x = 144,036.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.