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Finding the Third Proportional to 28,412 and 62,008

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Solution

The third proportional to 28,412 and 62,008 is: 135,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,412 : 62,008 = 62,008 : x
  2. Step 2: Convert to fraction form
    28,412/62,008 = 62,008/x
  3. Step 3: Cross multiply
    28,412x = 62,008 × 62,008
  4. Step 4: Simplify right side
    28,412x = 3,844,992,064
  5. Step 5: Solve for x
    x = 3,844,992,064/28,412
  6. Step 6: Final answer
    x = 135,329.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.