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Finding the Third Proportional to 44,932.50 and 68,762.25

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Solution

The third proportional to 44,932.50 and 68,762.25 is: 105,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,932.50 : 68,762.25 = 68,762.25 : x
  2. Step 2: Convert to fraction form
    44,932.50/68,762.25 = 68,762.25/x
  3. Step 3: Cross multiply
    44,932.50x = 68,762.25 × 68,762.25
  4. Step 4: Simplify right side
    44,932.50x = 4,728,247,025.06
  5. Step 5: Solve for x
    x = 4,728,247,025.06/44,932.50
  6. Step 6: Final answer
    x = 105,230.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.