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Finding the Third Proportional to 29,741 and 43,789

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Solution

The third proportional to 29,741 and 43,789 is: 64,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741 : 43,789 = 43,789 : x
  2. Step 2: Convert to fraction form
    29,741/43,789 = 43,789/x
  3. Step 3: Cross multiply
    29,741x = 43,789 × 43,789
  4. Step 4: Simplify right side
    29,741x = 1,917,476,521
  5. Step 5: Solve for x
    x = 1,917,476,521/29,741
  6. Step 6: Final answer
    x = 64,472.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.