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Finding the Third Proportional to 28,406 and 62,464

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Solution

The third proportional to 28,406 and 62,464 is: 137,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406 : 62,464 = 62,464 : x
  2. Step 2: Convert to fraction form
    28,406/62,464 = 62,464/x
  3. Step 3: Cross multiply
    28,406x = 62,464 × 62,464
  4. Step 4: Simplify right side
    28,406x = 3,901,751,296
  5. Step 5: Solve for x
    x = 3,901,751,296/28,406
  6. Step 6: Final answer
    x = 137,356.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.