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Finding the Third Proportional to 30,640.50 and 44,624.25

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Solution

The third proportional to 30,640.50 and 44,624.25 is: 64,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.50 : 44,624.25 = 44,624.25 : x
  2. Step 2: Convert to fraction form
    30,640.50/44,624.25 = 44,624.25/x
  3. Step 3: Cross multiply
    30,640.50x = 44,624.25 × 44,624.25
  4. Step 4: Simplify right side
    30,640.50x = 1,991,323,688.06
  5. Step 5: Solve for x
    x = 1,991,323,688.06/30,640.50
  6. Step 6: Final answer
    x = 64,989.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.