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Finding the Third Proportional to 39,047.06 and 80,862.05

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Solution

The third proportional to 39,047.06 and 80,862.05 is: 167,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,047.06 : 80,862.05 = 80,862.05 : x
  2. Step 2: Convert to fraction form
    39,047.06/80,862.05 = 80,862.05/x
  3. Step 3: Cross multiply
    39,047.06x = 80,862.05 × 80,862.05
  4. Step 4: Simplify right side
    39,047.06x = 6,538,670,624.81
  5. Step 5: Solve for x
    x = 6,538,670,624.81/39,047.06
  6. Step 6: Final answer
    x = 167,456.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.