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Finding the Third Proportional to 38,881.88 and 83,289.75

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Solution

The third proportional to 38,881.88 and 83,289.75 is: 178,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.88 : 83,289.75 = 83,289.75 : x
  2. Step 2: Convert to fraction form
    38,881.88/83,289.75 = 83,289.75/x
  3. Step 3: Cross multiply
    38,881.88x = 83,289.75 × 83,289.75
  4. Step 4: Simplify right side
    38,881.88x = 6,937,182,455.06
  5. Step 5: Solve for x
    x = 6,937,182,455.06/38,881.88
  6. Step 6: Final answer
    x = 178,416.87

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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.