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Finding the Third Proportional to 9,698 and 14,595

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Solution

The third proportional to 9,698 and 14,595 is: 21,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,595 = 14,595 : x
  2. Step 2: Convert to fraction form
    9,698/14,595 = 14,595/x
  3. Step 3: Cross multiply
    9,698x = 14,595 × 14,595
  4. Step 4: Simplify right side
    9,698x = 213,014,025
  5. Step 5: Solve for x
    x = 213,014,025/9,698
  6. Step 6: Final answer
    x = 21,964.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.