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Finding the Third Proportional to 18,204.75 and 23,365.13

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Solution

The third proportional to 18,204.75 and 23,365.13 is: 29,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.75 : 23,365.13 = 23,365.13 : x
  2. Step 2: Convert to fraction form
    18,204.75/23,365.13 = 23,365.13/x
  3. Step 3: Cross multiply
    18,204.75x = 23,365.13 × 23,365.13
  4. Step 4: Simplify right side
    18,204.75x = 545,929,066.27
  5. Step 5: Solve for x
    x = 545,929,066.27/18,204.75
  6. Step 6: Final answer
    x = 29,988.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.