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Finding the Third Proportional to 28,500 and 61,829

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Solution

The third proportional to 28,500 and 61,829 is: 134,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,500 : 61,829 = 61,829 : x
  2. Step 2: Convert to fraction form
    28,500/61,829 = 61,829/x
  3. Step 3: Cross multiply
    28,500x = 61,829 × 61,829
  4. Step 4: Simplify right side
    28,500x = 3,822,825,241
  5. Step 5: Solve for x
    x = 3,822,825,241/28,500
  6. Step 6: Final answer
    x = 134,134.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.