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Finding the Third Proportional to 14,258 and 21,450

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Solution

The third proportional to 14,258 and 21,450 is: 32,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 21,450 = 21,450 : x
  2. Step 2: Convert to fraction form
    14,258/21,450 = 21,450/x
  3. Step 3: Cross multiply
    14,258x = 21,450 × 21,450
  4. Step 4: Simplify right side
    14,258x = 460,102,500
  5. Step 5: Solve for x
    x = 460,102,500/14,258
  6. Step 6: Final answer
    x = 32,269.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.