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Finding the Third Proportional to 24,191.25 and 53,151.75

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Solution

The third proportional to 24,191.25 and 53,151.75 is: 116,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.25 : 53,151.75 = 53,151.75 : x
  2. Step 2: Convert to fraction form
    24,191.25/53,151.75 = 53,151.75/x
  3. Step 3: Cross multiply
    24,191.25x = 53,151.75 × 53,151.75
  4. Step 4: Simplify right side
    24,191.25x = 2,825,108,528.06
  5. Step 5: Solve for x
    x = 2,825,108,528.06/24,191.25
  6. Step 6: Final answer
    x = 116,782.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.