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Finding the Third Proportional to 39,233.75 and 84,985.25

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Solution

The third proportional to 39,233.75 and 84,985.25 is: 184,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,233.75 : 84,985.25 = 84,985.25 : x
  2. Step 2: Convert to fraction form
    39,233.75/84,985.25 = 84,985.25/x
  3. Step 3: Cross multiply
    39,233.75x = 84,985.25 × 84,985.25
  4. Step 4: Simplify right side
    39,233.75x = 7,222,492,717.56
  5. Step 5: Solve for x
    x = 7,222,492,717.56/39,233.75
  6. Step 6: Final answer
    x = 184,088.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.