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Finding the Third Proportional to 39,993.75 and 92,588.06

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Solution

The third proportional to 39,993.75 and 92,588.06 is: 214,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,993.75 : 92,588.06 = 92,588.06 : x
  2. Step 2: Convert to fraction form
    39,993.75/92,588.06 = 92,588.06/x
  3. Step 3: Cross multiply
    39,993.75x = 92,588.06 × 92,588.06
  4. Step 4: Simplify right side
    39,993.75x = 8,572,549,317.50
  5. Step 5: Solve for x
    x = 8,572,549,317.50/39,993.75
  6. Step 6: Final answer
    x = 214,347.22

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.