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Finding the Third Proportional to 14,517 and 21,719.25

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Solution

The third proportional to 14,517 and 21,719.25 is: 32,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 21,719.25 = 21,719.25 : x
  2. Step 2: Convert to fraction form
    14,517/21,719.25 = 21,719.25/x
  3. Step 3: Cross multiply
    14,517x = 21,719.25 × 21,719.25
  4. Step 4: Simplify right side
    14,517x = 471,725,820.56
  5. Step 5: Solve for x
    x = 471,725,820.56/14,517
  6. Step 6: Final answer
    x = 32,494.72

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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.