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Finding the Third Proportional to 28,494 and 62,406

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Solution

The third proportional to 28,494 and 62,406 is: 136,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494 : 62,406 = 62,406 : x
  2. Step 2: Convert to fraction form
    28,494/62,406 = 62,406/x
  3. Step 3: Cross multiply
    28,494x = 62,406 × 62,406
  4. Step 4: Simplify right side
    28,494x = 3,894,508,836
  5. Step 5: Solve for x
    x = 3,894,508,836/28,494
  6. Step 6: Final answer
    x = 136,678.21

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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.