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Finding the Third Proportional to 30,143.81 and 44,313.75

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Solution

The third proportional to 30,143.81 and 44,313.75 is: 65,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.81 : 44,313.75 = 44,313.75 : x
  2. Step 2: Convert to fraction form
    30,143.81/44,313.75 = 44,313.75/x
  3. Step 3: Cross multiply
    30,143.81x = 44,313.75 × 44,313.75
  4. Step 4: Simplify right side
    30,143.81x = 1,963,708,439.06
  5. Step 5: Solve for x
    x = 1,963,708,439.06/30,143.81
  6. Step 6: Final answer
    x = 65,144.66

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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.