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Finding the Third Proportional to 5,141.25 and 12,020.63

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Solution

The third proportional to 5,141.25 and 12,020.63 is: 28,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.25 : 12,020.63 = 12,020.63 : x
  2. Step 2: Convert to fraction form
    5,141.25/12,020.63 = 12,020.63/x
  3. Step 3: Cross multiply
    5,141.25x = 12,020.63 × 12,020.63
  4. Step 4: Simplify right side
    5,141.25x = 144,495,425.39
  5. Step 5: Solve for x
    x = 144,495,425.39/5,141.25
  6. Step 6: Final answer
    x = 28,105.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.