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Finding the Third Proportional to 44,674.50 and 65,644.50

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Solution

The third proportional to 44,674.50 and 65,644.50 is: 96,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,674.50 : 65,644.50 = 65,644.50 : x
  2. Step 2: Convert to fraction form
    44,674.50/65,644.50 = 65,644.50/x
  3. Step 3: Cross multiply
    44,674.50x = 65,644.50 × 65,644.50
  4. Step 4: Simplify right side
    44,674.50x = 4,309,200,380.25
  5. Step 5: Solve for x
    x = 4,309,200,380.25/44,674.50
  6. Step 6: Final answer
    x = 96,457.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.