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Finding the Third Proportional to 4,529 and 4,897

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Solution

The third proportional to 4,529 and 4,897 is: 5,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529 : 4,897 = 4,897 : x
  2. Step 2: Convert to fraction form
    4,529/4,897 = 4,897/x
  3. Step 3: Cross multiply
    4,529x = 4,897 × 4,897
  4. Step 4: Simplify right side
    4,529x = 23,980,609
  5. Step 5: Solve for x
    x = 23,980,609/4,529
  6. Step 6: Final answer
    x = 5,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.