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Finding the Third Proportional to 38,858.63 and 85,115.81

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Solution

The third proportional to 38,858.63 and 85,115.81 is: 186,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858.63 : 85,115.81 = 85,115.81 : x
  2. Step 2: Convert to fraction form
    38,858.63/85,115.81 = 85,115.81/x
  3. Step 3: Cross multiply
    38,858.63x = 85,115.81 × 85,115.81
  4. Step 4: Simplify right side
    38,858.63x = 7,244,701,537.54
  5. Step 5: Solve for x
    x = 7,244,701,537.54/38,858.63
  6. Step 6: Final answer
    x = 186,437.41

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Why These Related Problems?

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