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Finding the Third Proportional to 28,029 and 61,584

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Solution

The third proportional to 28,029 and 61,584 is: 135,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,029 : 61,584 = 61,584 : x
  2. Step 2: Convert to fraction form
    28,029/61,584 = 61,584/x
  3. Step 3: Cross multiply
    28,029x = 61,584 × 61,584
  4. Step 4: Simplify right side
    28,029x = 3,792,589,056
  5. Step 5: Solve for x
    x = 3,792,589,056/28,029
  6. Step 6: Final answer
    x = 135,309.47

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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.