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Finding the Third Proportional to 28,957 and 62,819

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Solution

The third proportional to 28,957 and 62,819 is: 136,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,957 : 62,819 = 62,819 : x
  2. Step 2: Convert to fraction form
    28,957/62,819 = 62,819/x
  3. Step 3: Cross multiply
    28,957x = 62,819 × 62,819
  4. Step 4: Simplify right side
    28,957x = 3,946,226,761
  5. Step 5: Solve for x
    x = 3,946,226,761/28,957
  6. Step 6: Final answer
    x = 136,278.85

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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.