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Finding the Third Proportional to 14,814 and 20,970

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Solution

The third proportional to 14,814 and 20,970 is: 29,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 20,970 = 20,970 : x
  2. Step 2: Convert to fraction form
    14,814/20,970 = 20,970/x
  3. Step 3: Cross multiply
    14,814x = 20,970 × 20,970
  4. Step 4: Simplify right side
    14,814x = 439,740,900
  5. Step 5: Solve for x
    x = 439,740,900/14,814
  6. Step 6: Final answer
    x = 29,684.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.