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Finding the Third Proportional to 27,050 and 40,467

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Solution

The third proportional to 27,050 and 40,467 is: 60,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 40,467 = 40,467 : x
  2. Step 2: Convert to fraction form
    27,050/40,467 = 40,467/x
  3. Step 3: Cross multiply
    27,050x = 40,467 × 40,467
  4. Step 4: Simplify right side
    27,050x = 1,637,578,089
  5. Step 5: Solve for x
    x = 1,637,578,089/27,050
  6. Step 6: Final answer
    x = 60,538.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.