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Finding the Third Proportional to 27,231 and 38,548.50

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Solution

The third proportional to 27,231 and 38,548.50 is: 54,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 38,548.50 = 38,548.50 : x
  2. Step 2: Convert to fraction form
    27,231/38,548.50 = 38,548.50/x
  3. Step 3: Cross multiply
    27,231x = 38,548.50 × 38,548.50
  4. Step 4: Simplify right side
    27,231x = 1,485,986,852.25
  5. Step 5: Solve for x
    x = 1,485,986,852.25/27,231
  6. Step 6: Final answer
    x = 54,569.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.