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Finding the Third Proportional to 19,585.13 and 47,339.44

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Solution

The third proportional to 19,585.13 and 47,339.44 is: 114,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.13 : 47,339.44 = 47,339.44 : x
  2. Step 2: Convert to fraction form
    19,585.13/47,339.44 = 47,339.44/x
  3. Step 3: Cross multiply
    19,585.13x = 47,339.44 × 47,339.44
  4. Step 4: Simplify right side
    19,585.13x = 2,241,022,342.82
  5. Step 5: Solve for x
    x = 2,241,022,342.82/19,585.13
  6. Step 6: Final answer
    x = 114,424.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.