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Finding the Third Proportional to 14,165 and 21,856.50

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Solution

The third proportional to 14,165 and 21,856.50 is: 33,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165 : 21,856.50 = 21,856.50 : x
  2. Step 2: Convert to fraction form
    14,165/21,856.50 = 21,856.50/x
  3. Step 3: Cross multiply
    14,165x = 21,856.50 × 21,856.50
  4. Step 4: Simplify right side
    14,165x = 477,706,592.25
  5. Step 5: Solve for x
    x = 477,706,592.25/14,165
  6. Step 6: Final answer
    x = 33,724.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.