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Finding the Third Proportional to 28,665 and 60,811

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Solution

The third proportional to 28,665 and 60,811 is: 129,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,665 : 60,811 = 60,811 : x
  2. Step 2: Convert to fraction form
    28,665/60,811 = 60,811/x
  3. Step 3: Cross multiply
    28,665x = 60,811 × 60,811
  4. Step 4: Simplify right side
    28,665x = 3,697,977,721
  5. Step 5: Solve for x
    x = 3,697,977,721/28,665
  6. Step 6: Final answer
    x = 129,006.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.