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Finding the Third Proportional to 14,489.25 and 30,892.31

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Solution

The third proportional to 14,489.25 and 30,892.31 is: 65,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.25 : 30,892.31 = 30,892.31 : x
  2. Step 2: Convert to fraction form
    14,489.25/30,892.31 = 30,892.31/x
  3. Step 3: Cross multiply
    14,489.25x = 30,892.31 × 30,892.31
  4. Step 4: Simplify right side
    14,489.25x = 954,334,971.60
  5. Step 5: Solve for x
    x = 954,334,971.60/14,489.25
  6. Step 6: Final answer
    x = 65,865.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.