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Finding the Third Proportional to 8,997 and 19,636.50

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Solution

The third proportional to 8,997 and 19,636.50 is: 42,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997 : 19,636.50 = 19,636.50 : x
  2. Step 2: Convert to fraction form
    8,997/19,636.50 = 19,636.50/x
  3. Step 3: Cross multiply
    8,997x = 19,636.50 × 19,636.50
  4. Step 4: Simplify right side
    8,997x = 385,592,132.25
  5. Step 5: Solve for x
    x = 385,592,132.25/8,997
  6. Step 6: Final answer
    x = 42,857.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.