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Finding the Third Proportional to 28,102 and 58,802

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Solution

The third proportional to 28,102 and 58,802 is: 123,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102 : 58,802 = 58,802 : x
  2. Step 2: Convert to fraction form
    28,102/58,802 = 58,802/x
  3. Step 3: Cross multiply
    28,102x = 58,802 × 58,802
  4. Step 4: Simplify right side
    28,102x = 3,457,675,204
  5. Step 5: Solve for x
    x = 3,457,675,204/28,102
  6. Step 6: Final answer
    x = 123,040.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.