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Finding the Third Proportional to 39,182.75 and 84,926.50

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Solution

The third proportional to 39,182.75 and 84,926.50 is: 184,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182.75 : 84,926.50 = 84,926.50 : x
  2. Step 2: Convert to fraction form
    39,182.75/84,926.50 = 84,926.50/x
  3. Step 3: Cross multiply
    39,182.75x = 84,926.50 × 84,926.50
  4. Step 4: Simplify right side
    39,182.75x = 7,212,510,402.25
  5. Step 5: Solve for x
    x = 7,212,510,402.25/39,182.75
  6. Step 6: Final answer
    x = 184,073.61

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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.