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Finding the Third Proportional to 7,912.69 and 14,838.19

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Solution

The third proportional to 7,912.69 and 14,838.19 is: 27,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.69 : 14,838.19 = 14,838.19 : x
  2. Step 2: Convert to fraction form
    7,912.69/14,838.19 = 14,838.19/x
  3. Step 3: Cross multiply
    7,912.69x = 14,838.19 × 14,838.19
  4. Step 4: Simplify right side
    7,912.69x = 220,171,808.29
  5. Step 5: Solve for x
    x = 220,171,808.29/7,912.69
  6. Step 6: Final answer
    x = 27,825.16

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.