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Finding the Third Proportional to 23,691 and 32,548.50

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Solution

The third proportional to 23,691 and 32,548.50 is: 44,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691 : 32,548.50 = 32,548.50 : x
  2. Step 2: Convert to fraction form
    23,691/32,548.50 = 32,548.50/x
  3. Step 3: Cross multiply
    23,691x = 32,548.50 × 32,548.50
  4. Step 4: Simplify right side
    23,691x = 1,059,404,852.25
  5. Step 5: Solve for x
    x = 1,059,404,852.25/23,691
  6. Step 6: Final answer
    x = 44,717.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.