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Finding the Third Proportional to 33,582.50 and 49,904

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Solution

The third proportional to 33,582.50 and 49,904 is: 74,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582.50 : 49,904 = 49,904 : x
  2. Step 2: Convert to fraction form
    33,582.50/49,904 = 49,904/x
  3. Step 3: Cross multiply
    33,582.50x = 49,904 × 49,904
  4. Step 4: Simplify right side
    33,582.50x = 2,490,409,216
  5. Step 5: Solve for x
    x = 2,490,409,216/33,582.50
  6. Step 6: Final answer
    x = 74,157.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.