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Finding the Third Proportional to 32,355 and 49,976

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Solution

The third proportional to 32,355 and 49,976 is: 77,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355 : 49,976 = 49,976 : x
  2. Step 2: Convert to fraction form
    32,355/49,976 = 49,976/x
  3. Step 3: Cross multiply
    32,355x = 49,976 × 49,976
  4. Step 4: Simplify right side
    32,355x = 2,497,600,576
  5. Step 5: Solve for x
    x = 2,497,600,576/32,355
  6. Step 6: Final answer
    x = 77,193.65

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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.