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Finding the Third Proportional to 17,927.75 and 23,944.88

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Solution

The third proportional to 17,927.75 and 23,944.88 is: 31,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.75 : 23,944.88 = 23,944.88 : x
  2. Step 2: Convert to fraction form
    17,927.75/23,944.88 = 23,944.88/x
  3. Step 3: Cross multiply
    17,927.75x = 23,944.88 × 23,944.88
  4. Step 4: Simplify right side
    17,927.75x = 573,357,038.77
  5. Step 5: Solve for x
    x = 573,357,038.77/17,927.75
  6. Step 6: Final answer
    x = 31,981.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.