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Finding the Third Proportional to 8,897 and 20,596

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Solution

The third proportional to 8,897 and 20,596 is: 47,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897 : 20,596 = 20,596 : x
  2. Step 2: Convert to fraction form
    8,897/20,596 = 20,596/x
  3. Step 3: Cross multiply
    8,897x = 20,596 × 20,596
  4. Step 4: Simplify right side
    8,897x = 424,195,216
  5. Step 5: Solve for x
    x = 424,195,216/8,897
  6. Step 6: Final answer
    x = 47,678.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.