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Finding the Third Proportional to 22,309.50 and 32,850

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Solution

The third proportional to 22,309.50 and 32,850 is: 48,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.50 : 32,850 = 32,850 : x
  2. Step 2: Convert to fraction form
    22,309.50/32,850 = 32,850/x
  3. Step 3: Cross multiply
    22,309.50x = 32,850 × 32,850
  4. Step 4: Simplify right side
    22,309.50x = 1,079,122,500
  5. Step 5: Solve for x
    x = 1,079,122,500/22,309.50
  6. Step 6: Final answer
    x = 48,370.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.