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Finding the Third Proportional to 39,182.91 and 85,877.72

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Solution

The third proportional to 39,182.91 and 85,877.72 is: 188,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182.91 : 85,877.72 = 85,877.72 : x
  2. Step 2: Convert to fraction form
    39,182.91/85,877.72 = 85,877.72/x
  3. Step 3: Cross multiply
    39,182.91x = 85,877.72 × 85,877.72
  4. Step 4: Simplify right side
    39,182.91x = 7,374,982,577.70
  5. Step 5: Solve for x
    x = 7,374,982,577.70/39,182.91
  6. Step 6: Final answer
    x = 188,219.39

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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.