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Finding the Third Proportional to 4,897 and 8,169

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Solution

The third proportional to 4,897 and 8,169 is: 13,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897 : 8,169 = 8,169 : x
  2. Step 2: Convert to fraction form
    4,897/8,169 = 8,169/x
  3. Step 3: Cross multiply
    4,897x = 8,169 × 8,169
  4. Step 4: Simplify right side
    4,897x = 66,732,561
  5. Step 5: Solve for x
    x = 66,732,561/4,897
  6. Step 6: Final answer
    x = 13,627.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.