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Finding the Third Proportional to 28,210 and 59,589

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Solution

The third proportional to 28,210 and 59,589 is: 125,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,210 : 59,589 = 59,589 : x
  2. Step 2: Convert to fraction form
    28,210/59,589 = 59,589/x
  3. Step 3: Cross multiply
    28,210x = 59,589 × 59,589
  4. Step 4: Simplify right side
    28,210x = 3,550,848,921
  5. Step 5: Solve for x
    x = 3,550,848,921/28,210
  6. Step 6: Final answer
    x = 125,871.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.