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Finding the Third Proportional to 18,224.25 and 23,929.88

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Solution

The third proportional to 18,224.25 and 23,929.88 is: 31,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.25 : 23,929.88 = 23,929.88 : x
  2. Step 2: Convert to fraction form
    18,224.25/23,929.88 = 23,929.88/x
  3. Step 3: Cross multiply
    18,224.25x = 23,929.88 × 23,929.88
  4. Step 4: Simplify right side
    18,224.25x = 572,638,917.52
  5. Step 5: Solve for x
    x = 572,638,917.52/18,224.25
  6. Step 6: Final answer
    x = 31,421.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.