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Finding the Third Proportional to 22,970.25 and 50,041.13

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Solution

The third proportional to 22,970.25 and 50,041.13 is: 109,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.25 : 50,041.13 = 50,041.13 : x
  2. Step 2: Convert to fraction form
    22,970.25/50,041.13 = 50,041.13/x
  3. Step 3: Cross multiply
    22,970.25x = 50,041.13 × 50,041.13
  4. Step 4: Simplify right side
    22,970.25x = 2,504,114,191.27
  5. Step 5: Solve for x
    x = 2,504,114,191.27/22,970.25
  6. Step 6: Final answer
    x = 109,015.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.