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Finding the Third Proportional to 33,900 and 48,429

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Solution

The third proportional to 33,900 and 48,429 is: 69,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900 : 48,429 = 48,429 : x
  2. Step 2: Convert to fraction form
    33,900/48,429 = 48,429/x
  3. Step 3: Cross multiply
    33,900x = 48,429 × 48,429
  4. Step 4: Simplify right side
    33,900x = 2,345,368,041
  5. Step 5: Solve for x
    x = 2,345,368,041/33,900
  6. Step 6: Final answer
    x = 69,184.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.