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Finding the Third Proportional to 29,934 and 43,584

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Solution

The third proportional to 29,934 and 43,584 is: 63,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 43,584 = 43,584 : x
  2. Step 2: Convert to fraction form
    29,934/43,584 = 43,584/x
  3. Step 3: Cross multiply
    29,934x = 43,584 × 43,584
  4. Step 4: Simplify right side
    29,934x = 1,899,565,056
  5. Step 5: Solve for x
    x = 1,899,565,056/29,934
  6. Step 6: Final answer
    x = 63,458.44

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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.