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Finding the Third Proportional to 24,670.50 and 36,624.75

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Solution

The third proportional to 24,670.50 and 36,624.75 is: 54,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.50 : 36,624.75 = 36,624.75 : x
  2. Step 2: Convert to fraction form
    24,670.50/36,624.75 = 36,624.75/x
  3. Step 3: Cross multiply
    24,670.50x = 36,624.75 × 36,624.75
  4. Step 4: Simplify right side
    24,670.50x = 1,341,372,312.56
  5. Step 5: Solve for x
    x = 1,341,372,312.56/24,670.50
  6. Step 6: Final answer
    x = 54,371.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.