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Finding the Third Proportional to 30,525 and 62,877

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Solution

The third proportional to 30,525 and 62,877 is: 129,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 62,877 = 62,877 : x
  2. Step 2: Convert to fraction form
    30,525/62,877 = 62,877/x
  3. Step 3: Cross multiply
    30,525x = 62,877 × 62,877
  4. Step 4: Simplify right side
    30,525x = 3,953,517,129
  5. Step 5: Solve for x
    x = 3,953,517,129/30,525
  6. Step 6: Final answer
    x = 129,517.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.