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Finding the Third Proportional to 12,897 and 20,137.50

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Solution

The third proportional to 12,897 and 20,137.50 is: 31,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 20,137.50 = 20,137.50 : x
  2. Step 2: Convert to fraction form
    12,897/20,137.50 = 20,137.50/x
  3. Step 3: Cross multiply
    12,897x = 20,137.50 × 20,137.50
  4. Step 4: Simplify right side
    12,897x = 405,518,906.25
  5. Step 5: Solve for x
    x = 405,518,906.25/12,897
  6. Step 6: Final answer
    x = 31,442.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.