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Finding the Third Proportional to 15,892.03 and 23,229.60

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Solution

The third proportional to 15,892.03 and 23,229.60 is: 33,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.03 : 23,229.60 = 23,229.60 : x
  2. Step 2: Convert to fraction form
    15,892.03/23,229.60 = 23,229.60/x
  3. Step 3: Cross multiply
    15,892.03x = 23,229.60 × 23,229.60
  4. Step 4: Simplify right side
    15,892.03x = 539,614,207.27
  5. Step 5: Solve for x
    x = 539,614,207.27/15,892.03
  6. Step 6: Final answer
    x = 33,955.02

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Why These Related Problems?

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