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Finding the Third Proportional to 22,056.75 and 47,637

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Solution

The third proportional to 22,056.75 and 47,637 is: 102,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.75 : 47,637 = 47,637 : x
  2. Step 2: Convert to fraction form
    22,056.75/47,637 = 47,637/x
  3. Step 3: Cross multiply
    22,056.75x = 47,637 × 47,637
  4. Step 4: Simplify right side
    22,056.75x = 2,269,283,769
  5. Step 5: Solve for x
    x = 2,269,283,769/22,056.75
  6. Step 6: Final answer
    x = 102,883.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.