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Finding the Third Proportional to 16,144.31 and 34,762.50

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Solution

The third proportional to 16,144.31 and 34,762.50 is: 74,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.31 : 34,762.50 = 34,762.50 : x
  2. Step 2: Convert to fraction form
    16,144.31/34,762.50 = 34,762.50/x
  3. Step 3: Cross multiply
    16,144.31x = 34,762.50 × 34,762.50
  4. Step 4: Simplify right side
    16,144.31x = 1,208,431,406.25
  5. Step 5: Solve for x
    x = 1,208,431,406.25/16,144.31
  6. Step 6: Final answer
    x = 74,851.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.