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Finding the Third Proportional to 32,412 and 43,797

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Solution

The third proportional to 32,412 and 43,797 is: 59,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 43,797 = 43,797 : x
  2. Step 2: Convert to fraction form
    32,412/43,797 = 43,797/x
  3. Step 3: Cross multiply
    32,412x = 43,797 × 43,797
  4. Step 4: Simplify right side
    32,412x = 1,918,177,209
  5. Step 5: Solve for x
    x = 1,918,177,209/32,412
  6. Step 6: Final answer
    x = 59,181.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.