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Finding the Third Proportional to 14,427.75 and 21,736.50

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Solution

The third proportional to 14,427.75 and 21,736.50 is: 32,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.75 : 21,736.50 = 21,736.50 : x
  2. Step 2: Convert to fraction form
    14,427.75/21,736.50 = 21,736.50/x
  3. Step 3: Cross multiply
    14,427.75x = 21,736.50 × 21,736.50
  4. Step 4: Simplify right side
    14,427.75x = 472,475,432.25
  5. Step 5: Solve for x
    x = 472,475,432.25/14,427.75
  6. Step 6: Final answer
    x = 32,747.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.