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Finding the Third Proportional to 39,011 and 83,947

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Solution

The third proportional to 39,011 and 83,947 is: 180,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,011 : 83,947 = 83,947 : x
  2. Step 2: Convert to fraction form
    39,011/83,947 = 83,947/x
  3. Step 3: Cross multiply
    39,011x = 83,947 × 83,947
  4. Step 4: Simplify right side
    39,011x = 7,047,098,809
  5. Step 5: Solve for x
    x = 7,047,098,809/39,011
  6. Step 6: Final answer
    x = 180,643.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.