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Finding the Third Proportional to 14,353 and 30,443

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Solution

The third proportional to 14,353 and 30,443 is: 64,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353 : 30,443 = 30,443 : x
  2. Step 2: Convert to fraction form
    14,353/30,443 = 30,443/x
  3. Step 3: Cross multiply
    14,353x = 30,443 × 30,443
  4. Step 4: Simplify right side
    14,353x = 926,776,249
  5. Step 5: Solve for x
    x = 926,776,249/14,353
  6. Step 6: Final answer
    x = 64,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.