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Finding the Third Proportional to 9,037.41 and 19,462.57

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Solution

The third proportional to 9,037.41 and 19,462.57 is: 41,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.41 : 19,462.57 = 19,462.57 : x
  2. Step 2: Convert to fraction form
    9,037.41/19,462.57 = 19,462.57/x
  3. Step 3: Cross multiply
    9,037.41x = 19,462.57 × 19,462.57
  4. Step 4: Simplify right side
    9,037.41x = 378,791,643.17
  5. Step 5: Solve for x
    x = 378,791,643.17/9,037.41
  6. Step 6: Final answer
    x = 41,913.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.