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Finding the Third Proportional to 32,876 and 53,412

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Solution

The third proportional to 32,876 and 53,412 is: 86,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876 : 53,412 = 53,412 : x
  2. Step 2: Convert to fraction form
    32,876/53,412 = 53,412/x
  3. Step 3: Cross multiply
    32,876x = 53,412 × 53,412
  4. Step 4: Simplify right side
    32,876x = 2,852,841,744
  5. Step 5: Solve for x
    x = 2,852,841,744/32,876
  6. Step 6: Final answer
    x = 86,775.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.