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Finding the Third Proportional to 15,813.98 and 33,972.54

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Solution

The third proportional to 15,813.98 and 33,972.54 is: 72,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.98 : 33,972.54 = 33,972.54 : x
  2. Step 2: Convert to fraction form
    15,813.98/33,972.54 = 33,972.54/x
  3. Step 3: Cross multiply
    15,813.98x = 33,972.54 × 33,972.54
  4. Step 4: Simplify right side
    15,813.98x = 1,154,133,410.35
  5. Step 5: Solve for x
    x = 1,154,133,410.35/15,813.98
  6. Step 6: Final answer
    x = 72,981.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.