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Finding the Third Proportional to 14,697 and 17,145

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Solution

The third proportional to 14,697 and 17,145 is: 20,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697 : 17,145 = 17,145 : x
  2. Step 2: Convert to fraction form
    14,697/17,145 = 17,145/x
  3. Step 3: Cross multiply
    14,697x = 17,145 × 17,145
  4. Step 4: Simplify right side
    14,697x = 293,951,025
  5. Step 5: Solve for x
    x = 293,951,025/14,697
  6. Step 6: Final answer
    x = 20,000.75

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.