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Finding the Third Proportional to 14,935 and 20,347

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Solution

The third proportional to 14,935 and 20,347 is: 27,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935 : 20,347 = 20,347 : x
  2. Step 2: Convert to fraction form
    14,935/20,347 = 20,347/x
  3. Step 3: Cross multiply
    14,935x = 20,347 × 20,347
  4. Step 4: Simplify right side
    14,935x = 414,000,409
  5. Step 5: Solve for x
    x = 414,000,409/14,935
  6. Step 6: Final answer
    x = 27,720.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.