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Finding the Third Proportional to 39,426.75 and 95,013

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Solution

The third proportional to 39,426.75 and 95,013 is: 228,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,426.75 : 95,013 = 95,013 : x
  2. Step 2: Convert to fraction form
    39,426.75/95,013 = 95,013/x
  3. Step 3: Cross multiply
    39,426.75x = 95,013 × 95,013
  4. Step 4: Simplify right side
    39,426.75x = 9,027,470,169
  5. Step 5: Solve for x
    x = 9,027,470,169/39,426.75
  6. Step 6: Final answer
    x = 228,968.15

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.