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Finding the Third Proportional to 4,937.84 and 8,537.27

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Solution

The third proportional to 4,937.84 and 8,537.27 is: 14,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.84 : 8,537.27 = 8,537.27 : x
  2. Step 2: Convert to fraction form
    4,937.84/8,537.27 = 8,537.27/x
  3. Step 3: Cross multiply
    4,937.84x = 8,537.27 × 8,537.27
  4. Step 4: Simplify right side
    4,937.84x = 72,885,037.75
  5. Step 5: Solve for x
    x = 72,885,037.75/4,937.84
  6. Step 6: Final answer
    x = 14,760.52

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.