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Finding the Third Proportional to 39,182.63 and 85,876.31

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Solution

The third proportional to 39,182.63 and 85,876.31 is: 188,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182.63 : 85,876.31 = 85,876.31 : x
  2. Step 2: Convert to fraction form
    39,182.63/85,876.31 = 85,876.31/x
  3. Step 3: Cross multiply
    39,182.63x = 85,876.31 × 85,876.31
  4. Step 4: Simplify right side
    39,182.63x = 7,374,741,048.60
  5. Step 5: Solve for x
    x = 7,374,741,048.60/39,182.63
  6. Step 6: Final answer
    x = 188,214.57

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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.