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Finding the Third Proportional to 3,519.07 and 7,486.17

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Solution

The third proportional to 3,519.07 and 7,486.17 is: 15,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.07 : 7,486.17 = 7,486.17 : x
  2. Step 2: Convert to fraction form
    3,519.07/7,486.17 = 7,486.17/x
  3. Step 3: Cross multiply
    3,519.07x = 7,486.17 × 7,486.17
  4. Step 4: Simplify right side
    3,519.07x = 56,042,769.34
  5. Step 5: Solve for x
    x = 56,042,769.34/3,519.07
  6. Step 6: Final answer
    x = 15,925.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.