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Finding the Third Proportional to 23,631.75 and 37,216.13

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Solution

The third proportional to 23,631.75 and 37,216.13 is: 58,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 37,216.13 = 37,216.13 : x
  2. Step 2: Convert to fraction form
    23,631.75/37,216.13 = 37,216.13/x
  3. Step 3: Cross multiply
    23,631.75x = 37,216.13 × 37,216.13
  4. Step 4: Simplify right side
    23,631.75x = 1,385,039,960.02
  5. Step 5: Solve for x
    x = 1,385,039,960.02/23,631.75
  6. Step 6: Final answer
    x = 58,609.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.