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Finding the Third Proportional to 28,977 and 60,465

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Solution

The third proportional to 28,977 and 60,465 is: 126,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,977 : 60,465 = 60,465 : x
  2. Step 2: Convert to fraction form
    28,977/60,465 = 60,465/x
  3. Step 3: Cross multiply
    28,977x = 60,465 × 60,465
  4. Step 4: Simplify right side
    28,977x = 3,656,016,225
  5. Step 5: Solve for x
    x = 3,656,016,225/28,977
  6. Step 6: Final answer
    x = 126,169.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.