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Finding the Third Proportional to 43,150.63 and 58,299.19

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Solution

The third proportional to 43,150.63 and 58,299.19 is: 78,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,150.63 : 58,299.19 = 58,299.19 : x
  2. Step 2: Convert to fraction form
    43,150.63/58,299.19 = 58,299.19/x
  3. Step 3: Cross multiply
    43,150.63x = 58,299.19 × 58,299.19
  4. Step 4: Simplify right side
    43,150.63x = 3,398,795,263.16
  5. Step 5: Solve for x
    x = 3,398,795,263.16/43,150.63
  6. Step 6: Final answer
    x = 78,765.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.