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Finding the Third Proportional to 28,869 and 61,383

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Solution

The third proportional to 28,869 and 61,383 is: 130,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,869 : 61,383 = 61,383 : x
  2. Step 2: Convert to fraction form
    28,869/61,383 = 61,383/x
  3. Step 3: Cross multiply
    28,869x = 61,383 × 61,383
  4. Step 4: Simplify right side
    28,869x = 3,767,872,689
  5. Step 5: Solve for x
    x = 3,767,872,689/28,869
  6. Step 6: Final answer
    x = 130,516.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.