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Finding the Third Proportional to 22,131.75 and 47,784.75

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Solution

The third proportional to 22,131.75 and 47,784.75 is: 103,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.75 : 47,784.75 = 47,784.75 : x
  2. Step 2: Convert to fraction form
    22,131.75/47,784.75 = 47,784.75/x
  3. Step 3: Cross multiply
    22,131.75x = 47,784.75 × 47,784.75
  4. Step 4: Simplify right side
    22,131.75x = 2,283,382,332.56
  5. Step 5: Solve for x
    x = 2,283,382,332.56/22,131.75
  6. Step 6: Final answer
    x = 103,172.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.