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Finding the Third Proportional to 23,305.50 and 37,064.25

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Solution

The third proportional to 23,305.50 and 37,064.25 is: 58,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.50 : 37,064.25 = 37,064.25 : x
  2. Step 2: Convert to fraction form
    23,305.50/37,064.25 = 37,064.25/x
  3. Step 3: Cross multiply
    23,305.50x = 37,064.25 × 37,064.25
  4. Step 4: Simplify right side
    23,305.50x = 1,373,758,628.06
  5. Step 5: Solve for x
    x = 1,373,758,628.06/23,305.50
  6. Step 6: Final answer
    x = 58,945.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.