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Finding the Third Proportional to 14,817 and 34,977

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Solution

The third proportional to 14,817 and 34,977 is: 82,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817 : 34,977 = 34,977 : x
  2. Step 2: Convert to fraction form
    14,817/34,977 = 34,977/x
  3. Step 3: Cross multiply
    14,817x = 34,977 × 34,977
  4. Step 4: Simplify right side
    14,817x = 1,223,390,529
  5. Step 5: Solve for x
    x = 1,223,390,529/14,817
  6. Step 6: Final answer
    x = 82,566.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.