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Finding the Third Proportional to 14,516 and 21,717

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Solution

The third proportional to 14,516 and 21,717 is: 32,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516 : 21,717 = 21,717 : x
  2. Step 2: Convert to fraction form
    14,516/21,717 = 21,717/x
  3. Step 3: Cross multiply
    14,516x = 21,717 × 21,717
  4. Step 4: Simplify right side
    14,516x = 471,628,089
  5. Step 5: Solve for x
    x = 471,628,089/14,516
  6. Step 6: Final answer
    x = 32,490.22

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Why These Related Problems?

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