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Finding the Third Proportional to 23,477.25 and 50,935.31

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Solution

The third proportional to 23,477.25 and 50,935.31 is: 110,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.25 : 50,935.31 = 50,935.31 : x
  2. Step 2: Convert to fraction form
    23,477.25/50,935.31 = 50,935.31/x
  3. Step 3: Cross multiply
    23,477.25x = 50,935.31 × 50,935.31
  4. Step 4: Simplify right side
    23,477.25x = 2,594,406,059.47
  5. Step 5: Solve for x
    x = 2,594,406,059.47/23,477.25
  6. Step 6: Final answer
    x = 110,507.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.