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Finding the Third Proportional to 14,613 and 22,026

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Solution

The third proportional to 14,613 and 22,026 is: 33,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613 : 22,026 = 22,026 : x
  2. Step 2: Convert to fraction form
    14,613/22,026 = 22,026/x
  3. Step 3: Cross multiply
    14,613x = 22,026 × 22,026
  4. Step 4: Simplify right side
    14,613x = 485,144,676
  5. Step 5: Solve for x
    x = 485,144,676/14,613
  6. Step 6: Final answer
    x = 33,199.53

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Why These Related Problems?

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