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Finding the Third Proportional to 16,744.75 and 22,803.50

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Solution

The third proportional to 16,744.75 and 22,803.50 is: 31,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.75 : 22,803.50 = 22,803.50 : x
  2. Step 2: Convert to fraction form
    16,744.75/22,803.50 = 22,803.50/x
  3. Step 3: Cross multiply
    16,744.75x = 22,803.50 × 22,803.50
  4. Step 4: Simplify right side
    16,744.75x = 519,999,612.25
  5. Step 5: Solve for x
    x = 519,999,612.25/16,744.75
  6. Step 6: Final answer
    x = 31,054.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.