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Finding the Third Proportional to 23,728.50 and 37,028.25

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Solution

The third proportional to 23,728.50 and 37,028.25 is: 57,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.50 : 37,028.25 = 37,028.25 : x
  2. Step 2: Convert to fraction form
    23,728.50/37,028.25 = 37,028.25/x
  3. Step 3: Cross multiply
    23,728.50x = 37,028.25 × 37,028.25
  4. Step 4: Simplify right side
    23,728.50x = 1,371,091,298.06
  5. Step 5: Solve for x
    x = 1,371,091,298.06/23,728.50
  6. Step 6: Final answer
    x = 57,782.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.