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Finding the Third Proportional to 51,018.75 and 76,724

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Solution

The third proportional to 51,018.75 and 76,724 is: 115,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018.75 : 76,724 = 76,724 : x
  2. Step 2: Convert to fraction form
    51,018.75/76,724 = 76,724/x
  3. Step 3: Cross multiply
    51,018.75x = 76,724 × 76,724
  4. Step 4: Simplify right side
    51,018.75x = 5,886,572,176
  5. Step 5: Solve for x
    x = 5,886,572,176/51,018.75
  6. Step 6: Final answer
    x = 115,380.56

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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.