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Finding the Third Proportional to 34,373 and 54,530

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Solution

The third proportional to 34,373 and 54,530 is: 86,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,373 : 54,530 = 54,530 : x
  2. Step 2: Convert to fraction form
    34,373/54,530 = 54,530/x
  3. Step 3: Cross multiply
    34,373x = 54,530 × 54,530
  4. Step 4: Simplify right side
    34,373x = 2,973,520,900
  5. Step 5: Solve for x
    x = 2,973,520,900/34,373
  6. Step 6: Final answer
    x = 86,507.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.