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Finding the Third Proportional to 39,714.94 and 85,531.88

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Solution

The third proportional to 39,714.94 and 85,531.88 is: 184,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714.94 : 85,531.88 = 85,531.88 : x
  2. Step 2: Convert to fraction form
    39,714.94/85,531.88 = 85,531.88/x
  3. Step 3: Cross multiply
    39,714.94x = 85,531.88 × 85,531.88
  4. Step 4: Simplify right side
    39,714.94x = 7,315,701,641.02
  5. Step 5: Solve for x
    x = 7,315,701,641.02/39,714.94
  6. Step 6: Final answer
    x = 184,205.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.