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Finding the Third Proportional to 29,987 and 43,828

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Solution

The third proportional to 29,987 and 43,828 is: 64,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987 : 43,828 = 43,828 : x
  2. Step 2: Convert to fraction form
    29,987/43,828 = 43,828/x
  3. Step 3: Cross multiply
    29,987x = 43,828 × 43,828
  4. Step 4: Simplify right side
    29,987x = 1,920,893,584
  5. Step 5: Solve for x
    x = 1,920,893,584/29,987
  6. Step 6: Final answer
    x = 64,057.54

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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.