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Finding the Third Proportional to 18,994.50 and 31,569.75

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Solution

The third proportional to 18,994.50 and 31,569.75 is: 52,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,994.50 : 31,569.75 = 31,569.75 : x
  2. Step 2: Convert to fraction form
    18,994.50/31,569.75 = 31,569.75/x
  3. Step 3: Cross multiply
    18,994.50x = 31,569.75 × 31,569.75
  4. Step 4: Simplify right side
    18,994.50x = 996,649,115.06
  5. Step 5: Solve for x
    x = 996,649,115.06/18,994.50
  6. Step 6: Final answer
    x = 52,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.