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Finding the Third Proportional to 21,152.25 and 50,114.25

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Solution

The third proportional to 21,152.25 and 50,114.25 is: 118,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.25 : 50,114.25 = 50,114.25 : x
  2. Step 2: Convert to fraction form
    21,152.25/50,114.25 = 50,114.25/x
  3. Step 3: Cross multiply
    21,152.25x = 50,114.25 × 50,114.25
  4. Step 4: Simplify right side
    21,152.25x = 2,511,438,053.06
  5. Step 5: Solve for x
    x = 2,511,438,053.06/21,152.25
  6. Step 6: Final answer
    x = 118,731.48

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.