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Finding the Third Proportional to 7,856.44 and 17,124.94

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Solution

The third proportional to 7,856.44 and 17,124.94 is: 37,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.44 : 17,124.94 = 17,124.94 : x
  2. Step 2: Convert to fraction form
    7,856.44/17,124.94 = 17,124.94/x
  3. Step 3: Cross multiply
    7,856.44x = 17,124.94 × 17,124.94
  4. Step 4: Simplify right side
    7,856.44x = 293,263,484.38
  5. Step 5: Solve for x
    x = 293,263,484.38/7,856.44
  6. Step 6: Final answer
    x = 37,327.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.