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Finding the Third Proportional to 24,801 and 35,451.50

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Solution

The third proportional to 24,801 and 35,451.50 is: 50,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 35,451.50 = 35,451.50 : x
  2. Step 2: Convert to fraction form
    24,801/35,451.50 = 35,451.50/x
  3. Step 3: Cross multiply
    24,801x = 35,451.50 × 35,451.50
  4. Step 4: Simplify right side
    24,801x = 1,256,808,852.25
  5. Step 5: Solve for x
    x = 1,256,808,852.25/24,801
  6. Step 6: Final answer
    x = 50,675.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.