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Finding the Third Proportional to 33,585 and 49,908

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Solution

The third proportional to 33,585 and 49,908 is: 74,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585 : 49,908 = 49,908 : x
  2. Step 2: Convert to fraction form
    33,585/49,908 = 49,908/x
  3. Step 3: Cross multiply
    33,585x = 49,908 × 49,908
  4. Step 4: Simplify right side
    33,585x = 2,490,808,464
  5. Step 5: Solve for x
    x = 2,490,808,464/33,585
  6. Step 6: Final answer
    x = 74,164.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.