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Finding the Third Proportional to 38,861.06 and 83,053.88

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Solution

The third proportional to 38,861.06 and 83,053.88 is: 177,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,861.06 : 83,053.88 = 83,053.88 : x
  2. Step 2: Convert to fraction form
    38,861.06/83,053.88 = 83,053.88/x
  3. Step 3: Cross multiply
    38,861.06x = 83,053.88 × 83,053.88
  4. Step 4: Simplify right side
    38,861.06x = 6,897,946,152.52
  5. Step 5: Solve for x
    x = 6,897,946,152.52/38,861.06
  6. Step 6: Final answer
    x = 177,502.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.