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Finding the Third Proportional to 34,524.56 and 53,313.19

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Solution

The third proportional to 34,524.56 and 53,313.19 is: 82,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.56 : 53,313.19 = 53,313.19 : x
  2. Step 2: Convert to fraction form
    34,524.56/53,313.19 = 53,313.19/x
  3. Step 3: Cross multiply
    34,524.56x = 53,313.19 × 53,313.19
  4. Step 4: Simplify right side
    34,524.56x = 2,842,295,961.41
  5. Step 5: Solve for x
    x = 2,842,295,961.41/34,524.56
  6. Step 6: Final answer
    x = 82,326.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.