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Finding the Third Proportional to 23,871.75 and 37,640.25

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Solution

The third proportional to 23,871.75 and 37,640.25 is: 59,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.75 : 37,640.25 = 37,640.25 : x
  2. Step 2: Convert to fraction form
    23,871.75/37,640.25 = 37,640.25/x
  3. Step 3: Cross multiply
    23,871.75x = 37,640.25 × 37,640.25
  4. Step 4: Simplify right side
    23,871.75x = 1,416,788,420.06
  5. Step 5: Solve for x
    x = 1,416,788,420.06/23,871.75
  6. Step 6: Final answer
    x = 59,350.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.