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Finding the Third Proportional to 22,964.50 and 32,503.38

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Solution

The third proportional to 22,964.50 and 32,503.38 is: 46,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.50 : 32,503.38 = 32,503.38 : x
  2. Step 2: Convert to fraction form
    22,964.50/32,503.38 = 32,503.38/x
  3. Step 3: Cross multiply
    22,964.50x = 32,503.38 × 32,503.38
  4. Step 4: Simplify right side
    22,964.50x = 1,056,469,386.39
  5. Step 5: Solve for x
    x = 1,056,469,386.39/22,964.50
  6. Step 6: Final answer
    x = 46,004.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.