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Finding the Third Proportional to 6,946.17 and 15,276.94

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Solution

The third proportional to 6,946.17 and 15,276.94 is: 33,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.17 : 15,276.94 = 15,276.94 : x
  2. Step 2: Convert to fraction form
    6,946.17/15,276.94 = 15,276.94/x
  3. Step 3: Cross multiply
    6,946.17x = 15,276.94 × 15,276.94
  4. Step 4: Simplify right side
    6,946.17x = 233,384,819.38
  5. Step 5: Solve for x
    x = 233,384,819.38/6,946.17
  6. Step 6: Final answer
    x = 33,599.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.