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Finding the Third Proportional to 34,315 and 54,797

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Solution

The third proportional to 34,315 and 54,797 is: 87,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,315 : 54,797 = 54,797 : x
  2. Step 2: Convert to fraction form
    34,315/54,797 = 54,797/x
  3. Step 3: Cross multiply
    34,315x = 54,797 × 54,797
  4. Step 4: Simplify right side
    34,315x = 3,002,711,209
  5. Step 5: Solve for x
    x = 3,002,711,209/34,315
  6. Step 6: Final answer
    x = 87,504.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.