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Finding the Third Proportional to 14,489.58 and 30,892.92

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Solution

The third proportional to 14,489.58 and 30,892.92 is: 65,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.58 : 30,892.92 = 30,892.92 : x
  2. Step 2: Convert to fraction form
    14,489.58/30,892.92 = 30,892.92/x
  3. Step 3: Cross multiply
    14,489.58x = 30,892.92 × 30,892.92
  4. Step 4: Simplify right side
    14,489.58x = 954,372,621.97
  5. Step 5: Solve for x
    x = 954,372,621.97/14,489.58
  6. Step 6: Final answer
    x = 65,866.14

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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.