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Finding the Third Proportional to 32,374 and 49,999

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Solution

The third proportional to 32,374 and 49,999 is: 77,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374 : 49,999 = 49,999 : x
  2. Step 2: Convert to fraction form
    32,374/49,999 = 49,999/x
  3. Step 3: Cross multiply
    32,374x = 49,999 × 49,999
  4. Step 4: Simplify right side
    32,374x = 2,499,900,001
  5. Step 5: Solve for x
    x = 2,499,900,001/32,374
  6. Step 6: Final answer
    x = 77,219.37

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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.