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Finding the Third Proportional to 22,083 and 32,824.50

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Solution

The third proportional to 22,083 and 32,824.50 is: 48,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083 : 32,824.50 = 32,824.50 : x
  2. Step 2: Convert to fraction form
    22,083/32,824.50 = 32,824.50/x
  3. Step 3: Cross multiply
    22,083x = 32,824.50 × 32,824.50
  4. Step 4: Simplify right side
    22,083x = 1,077,447,800.25
  5. Step 5: Solve for x
    x = 1,077,447,800.25/22,083
  6. Step 6: Final answer
    x = 48,790.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.