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Finding the Third Proportional to 12,232.69 and 23,493.38

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Solution

The third proportional to 12,232.69 and 23,493.38 is: 45,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.69 : 23,493.38 = 23,493.38 : x
  2. Step 2: Convert to fraction form
    12,232.69/23,493.38 = 23,493.38/x
  3. Step 3: Cross multiply
    12,232.69x = 23,493.38 × 23,493.38
  4. Step 4: Simplify right side
    12,232.69x = 551,938,668.89
  5. Step 5: Solve for x
    x = 551,938,668.89/12,232.69
  6. Step 6: Final answer
    x = 45,119.98

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.