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Finding the Third Proportional to 34,584 and 52,880

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Solution

The third proportional to 34,584 and 52,880 is: 80,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584 : 52,880 = 52,880 : x
  2. Step 2: Convert to fraction form
    34,584/52,880 = 52,880/x
  3. Step 3: Cross multiply
    34,584x = 52,880 × 52,880
  4. Step 4: Simplify right side
    34,584x = 2,796,294,400
  5. Step 5: Solve for x
    x = 2,796,294,400/34,584
  6. Step 6: Final answer
    x = 80,855.15

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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.