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Finding the Third Proportional to 29,544 and 43,047

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Solution

The third proportional to 29,544 and 43,047 is: 62,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 43,047 = 43,047 : x
  2. Step 2: Convert to fraction form
    29,544/43,047 = 43,047/x
  3. Step 3: Cross multiply
    29,544x = 43,047 × 43,047
  4. Step 4: Simplify right side
    29,544x = 1,853,044,209
  5. Step 5: Solve for x
    x = 1,853,044,209/29,544
  6. Step 6: Final answer
    x = 62,721.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.