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Finding the Third Proportional to 49,521.25 and 74,519

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Solution

The third proportional to 49,521.25 and 74,519 is: 112,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521.25 : 74,519 = 74,519 : x
  2. Step 2: Convert to fraction form
    49,521.25/74,519 = 74,519/x
  3. Step 3: Cross multiply
    49,521.25x = 74,519 × 74,519
  4. Step 4: Simplify right side
    49,521.25x = 5,553,081,361
  5. Step 5: Solve for x
    x = 5,553,081,361/49,521.25
  6. Step 6: Final answer
    x = 112,135.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.