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Finding the Third Proportional to 34,559 and 52,754

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Solution

The third proportional to 34,559 and 52,754 is: 80,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,559 : 52,754 = 52,754 : x
  2. Step 2: Convert to fraction form
    34,559/52,754 = 52,754/x
  3. Step 3: Cross multiply
    34,559x = 52,754 × 52,754
  4. Step 4: Simplify right side
    34,559x = 2,782,984,516
  5. Step 5: Solve for x
    x = 2,782,984,516/34,559
  6. Step 6: Final answer
    x = 80,528.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.