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Finding the Third Proportional to 24,273.75 and 51,921.75

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Solution

The third proportional to 24,273.75 and 51,921.75 is: 111,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.75 : 51,921.75 = 51,921.75 : x
  2. Step 2: Convert to fraction form
    24,273.75/51,921.75 = 51,921.75/x
  3. Step 3: Cross multiply
    24,273.75x = 51,921.75 × 51,921.75
  4. Step 4: Simplify right side
    24,273.75x = 2,695,868,123.06
  5. Step 5: Solve for x
    x = 2,695,868,123.06/24,273.75
  6. Step 6: Final answer
    x = 111,061.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.