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Finding the Third Proportional to 29,970 and 43,872

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Solution

The third proportional to 29,970 and 43,872 is: 64,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 43,872 = 43,872 : x
  2. Step 2: Convert to fraction form
    29,970/43,872 = 43,872/x
  3. Step 3: Cross multiply
    29,970x = 43,872 × 43,872
  4. Step 4: Simplify right side
    29,970x = 1,924,752,384
  5. Step 5: Solve for x
    x = 1,924,752,384/29,970
  6. Step 6: Final answer
    x = 64,222.64

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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.