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Finding the Third Proportional to 38,862.75 and 83,056.88

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Solution

The third proportional to 38,862.75 and 83,056.88 is: 177,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.75 : 83,056.88 = 83,056.88 : x
  2. Step 2: Convert to fraction form
    38,862.75/83,056.88 = 83,056.88/x
  3. Step 3: Cross multiply
    38,862.75x = 83,056.88 × 83,056.88
  4. Step 4: Simplify right side
    38,862.75x = 6,898,444,484.77
  5. Step 5: Solve for x
    x = 6,898,444,484.77/38,862.75
  6. Step 6: Final answer
    x = 177,507.88

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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.