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Finding the Third Proportional to 16,824.38 and 25,277.06

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Solution

The third proportional to 16,824.38 and 25,277.06 is: 37,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.38 : 25,277.06 = 25,277.06 : x
  2. Step 2: Convert to fraction form
    16,824.38/25,277.06 = 25,277.06/x
  3. Step 3: Cross multiply
    16,824.38x = 25,277.06 × 25,277.06
  4. Step 4: Simplify right side
    16,824.38x = 638,929,888.63
  5. Step 5: Solve for x
    x = 638,929,888.63/16,824.38
  6. Step 6: Final answer
    x = 37,976.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.