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Finding the Third Proportional to 14,630 and 21,926

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Solution

The third proportional to 14,630 and 21,926 is: 32,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630 : 21,926 = 21,926 : x
  2. Step 2: Convert to fraction form
    14,630/21,926 = 21,926/x
  3. Step 3: Cross multiply
    14,630x = 21,926 × 21,926
  4. Step 4: Simplify right side
    14,630x = 480,749,476
  5. Step 5: Solve for x
    x = 480,749,476/14,630
  6. Step 6: Final answer
    x = 32,860.52

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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.