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Finding the Third Proportional to 20,923.31 and 48,858.19

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Solution

The third proportional to 20,923.31 and 48,858.19 is: 114,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.31 : 48,858.19 = 48,858.19 : x
  2. Step 2: Convert to fraction form
    20,923.31/48,858.19 = 48,858.19/x
  3. Step 3: Cross multiply
    20,923.31x = 48,858.19 × 48,858.19
  4. Step 4: Simplify right side
    20,923.31x = 2,387,122,485.79
  5. Step 5: Solve for x
    x = 2,387,122,485.79/20,923.31
  6. Step 6: Final answer
    x = 114,089.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.