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Finding the Third Proportional to 38,738.81 and 84,848.63

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Solution

The third proportional to 38,738.81 and 84,848.63 is: 185,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.81 : 84,848.63 = 84,848.63 : x
  2. Step 2: Convert to fraction form
    38,738.81/84,848.63 = 84,848.63/x
  3. Step 3: Cross multiply
    38,738.81x = 84,848.63 × 84,848.63
  4. Step 4: Simplify right side
    38,738.81x = 7,199,289,164.39
  5. Step 5: Solve for x
    x = 7,199,289,164.39/38,738.81
  6. Step 6: Final answer
    x = 185,841.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.