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Finding the Third Proportional to 28,704 and 62,944

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Solution

The third proportional to 28,704 and 62,944 is: 138,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,704 : 62,944 = 62,944 : x
  2. Step 2: Convert to fraction form
    28,704/62,944 = 62,944/x
  3. Step 3: Cross multiply
    28,704x = 62,944 × 62,944
  4. Step 4: Simplify right side
    28,704x = 3,961,947,136
  5. Step 5: Solve for x
    x = 3,961,947,136/28,704
  6. Step 6: Final answer
    x = 138,027.70

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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.