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Finding the Third Proportional to 27,036 and 59,254

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Solution

The third proportional to 27,036 and 59,254 is: 129,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 59,254 = 59,254 : x
  2. Step 2: Convert to fraction form
    27,036/59,254 = 59,254/x
  3. Step 3: Cross multiply
    27,036x = 59,254 × 59,254
  4. Step 4: Simplify right side
    27,036x = 3,511,036,516
  5. Step 5: Solve for x
    x = 3,511,036,516/27,036
  6. Step 6: Final answer
    x = 129,865.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.