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Finding the Third Proportional to 12,509 and 20,000

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Solution

The third proportional to 12,509 and 20,000 is: 31,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 20,000 = 20,000 : x
  2. Step 2: Convert to fraction form
    12,509/20,000 = 20,000/x
  3. Step 3: Cross multiply
    12,509x = 20,000 × 20,000
  4. Step 4: Simplify right side
    12,509x = 400,000,000
  5. Step 5: Solve for x
    x = 400,000,000/12,509
  6. Step 6: Final answer
    x = 31,976.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.