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Finding the Third Proportional to 32,334 and 49,937

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Solution

The third proportional to 32,334 and 49,937 is: 77,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334 : 49,937 = 49,937 : x
  2. Step 2: Convert to fraction form
    32,334/49,937 = 49,937/x
  3. Step 3: Cross multiply
    32,334x = 49,937 × 49,937
  4. Step 4: Simplify right side
    32,334x = 2,493,703,969
  5. Step 5: Solve for x
    x = 2,493,703,969/32,334
  6. Step 6: Final answer
    x = 77,123.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.