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Finding the Third Proportional to 9,897 and 23,652

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Solution

The third proportional to 9,897 and 23,652 is: 56,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 23,652 = 23,652 : x
  2. Step 2: Convert to fraction form
    9,897/23,652 = 23,652/x
  3. Step 3: Cross multiply
    9,897x = 23,652 × 23,652
  4. Step 4: Simplify right side
    9,897x = 559,417,104
  5. Step 5: Solve for x
    x = 559,417,104/9,897
  6. Step 6: Final answer
    x = 56,523.91

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.