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Finding the Third Proportional to 32,948 and 50,998

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Solution

The third proportional to 32,948 and 50,998 is: 78,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948 : 50,998 = 50,998 : x
  2. Step 2: Convert to fraction form
    32,948/50,998 = 50,998/x
  3. Step 3: Cross multiply
    32,948x = 50,998 × 50,998
  4. Step 4: Simplify right side
    32,948x = 2,600,796,004
  5. Step 5: Solve for x
    x = 2,600,796,004/32,948
  6. Step 6: Final answer
    x = 78,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.