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Finding the Third Proportional to 32,409.75 and 49,998

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Solution

The third proportional to 32,409.75 and 49,998 is: 77,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.75 : 49,998 = 49,998 : x
  2. Step 2: Convert to fraction form
    32,409.75/49,998 = 49,998/x
  3. Step 3: Cross multiply
    32,409.75x = 49,998 × 49,998
  4. Step 4: Simplify right side
    32,409.75x = 2,499,800,004
  5. Step 5: Solve for x
    x = 2,499,800,004/32,409.75
  6. Step 6: Final answer
    x = 77,131.11

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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.