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Finding the Third Proportional to 30,519 and 44,959.50

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Solution

The third proportional to 30,519 and 44,959.50 is: 66,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519 : 44,959.50 = 44,959.50 : x
  2. Step 2: Convert to fraction form
    30,519/44,959.50 = 44,959.50/x
  3. Step 3: Cross multiply
    30,519x = 44,959.50 × 44,959.50
  4. Step 4: Simplify right side
    30,519x = 2,021,356,640.25
  5. Step 5: Solve for x
    x = 2,021,356,640.25/30,519
  6. Step 6: Final answer
    x = 66,232.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.