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Finding the Third Proportional to 29,866 and 45,539

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Solution

The third proportional to 29,866 and 45,539 is: 69,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866 : 45,539 = 45,539 : x
  2. Step 2: Convert to fraction form
    29,866/45,539 = 45,539/x
  3. Step 3: Cross multiply
    29,866x = 45,539 × 45,539
  4. Step 4: Simplify right side
    29,866x = 2,073,800,521
  5. Step 5: Solve for x
    x = 2,073,800,521/29,866
  6. Step 6: Final answer
    x = 69,436.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.