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Finding the Third Proportional to 14,244 and 30,678.19

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Solution

The third proportional to 14,244 and 30,678.19 is: 66,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244 : 30,678.19 = 30,678.19 : x
  2. Step 2: Convert to fraction form
    14,244/30,678.19 = 30,678.19/x
  3. Step 3: Cross multiply
    14,244x = 30,678.19 × 30,678.19
  4. Step 4: Simplify right side
    14,244x = 941,151,188.29
  5. Step 5: Solve for x
    x = 941,151,188.29/14,244
  6. Step 6: Final answer
    x = 66,073.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.