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Finding the Third Proportional to 12,260.81 and 18,342.84

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Solution

The third proportional to 12,260.81 and 18,342.84 is: 27,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260.81 : 18,342.84 = 18,342.84 : x
  2. Step 2: Convert to fraction form
    12,260.81/18,342.84 = 18,342.84/x
  3. Step 3: Cross multiply
    12,260.81x = 18,342.84 × 18,342.84
  4. Step 4: Simplify right side
    12,260.81x = 336,459,916.84
  5. Step 5: Solve for x
    x = 336,459,916.84/12,260.81
  6. Step 6: Final answer
    x = 27,441.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.