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Finding the Third Proportional to 9,730.13 and 13,694.63

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Solution

The third proportional to 9,730.13 and 13,694.63 is: 19,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 13,694.63 = 13,694.63 : x
  2. Step 2: Convert to fraction form
    9,730.13/13,694.63 = 13,694.63/x
  3. Step 3: Cross multiply
    9,730.13x = 13,694.63 × 13,694.63
  4. Step 4: Simplify right side
    9,730.13x = 187,542,753.89
  5. Step 5: Solve for x
    x = 187,542,753.89/9,730.13
  6. Step 6: Final answer
    x = 19,274.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.