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Finding the Third Proportional to 22,200.75 and 32,369.63

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Solution

The third proportional to 22,200.75 and 32,369.63 is: 47,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.75 : 32,369.63 = 32,369.63 : x
  2. Step 2: Convert to fraction form
    22,200.75/32,369.63 = 32,369.63/x
  3. Step 3: Cross multiply
    22,200.75x = 32,369.63 × 32,369.63
  4. Step 4: Simplify right side
    22,200.75x = 1,047,792,622.64
  5. Step 5: Solve for x
    x = 1,047,792,622.64/22,200.75
  6. Step 6: Final answer
    x = 47,196.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.