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Finding the Third Proportional to 38,881.88 and 84,799.50

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Solution

The third proportional to 38,881.88 and 84,799.50 is: 184,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.88 : 84,799.50 = 84,799.50 : x
  2. Step 2: Convert to fraction form
    38,881.88/84,799.50 = 84,799.50/x
  3. Step 3: Cross multiply
    38,881.88x = 84,799.50 × 84,799.50
  4. Step 4: Simplify right side
    38,881.88x = 7,190,955,200.25
  5. Step 5: Solve for x
    x = 7,190,955,200.25/38,881.88
  6. Step 6: Final answer
    x = 184,943.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.