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Finding the Third Proportional to 14,689 and 20,940

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Solution

The third proportional to 14,689 and 20,940 is: 29,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689 : 20,940 = 20,940 : x
  2. Step 2: Convert to fraction form
    14,689/20,940 = 20,940/x
  3. Step 3: Cross multiply
    14,689x = 20,940 × 20,940
  4. Step 4: Simplify right side
    14,689x = 438,483,600
  5. Step 5: Solve for x
    x = 438,483,600/14,689
  6. Step 6: Final answer
    x = 29,851.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.