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Finding the Third Proportional to 9,997.75 and 21,878.75

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Solution

The third proportional to 9,997.75 and 21,878.75 is: 47,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.75 : 21,878.75 = 21,878.75 : x
  2. Step 2: Convert to fraction form
    9,997.75/21,878.75 = 21,878.75/x
  3. Step 3: Cross multiply
    9,997.75x = 21,878.75 × 21,878.75
  4. Step 4: Simplify right side
    9,997.75x = 478,679,701.56
  5. Step 5: Solve for x
    x = 478,679,701.56/9,997.75
  6. Step 6: Final answer
    x = 47,878.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.