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Finding the Third Proportional to 14,017 and 21,026

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Solution

The third proportional to 14,017 and 21,026 is: 31,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017 : 21,026 = 21,026 : x
  2. Step 2: Convert to fraction form
    14,017/21,026 = 21,026/x
  3. Step 3: Cross multiply
    14,017x = 21,026 × 21,026
  4. Step 4: Simplify right side
    14,017x = 442,092,676
  5. Step 5: Solve for x
    x = 442,092,676/14,017
  6. Step 6: Final answer
    x = 31,539.75

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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.