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Finding the Third Proportional to 9,698 and 14,628

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Solution

The third proportional to 9,698 and 14,628 is: 22,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,628 = 14,628 : x
  2. Step 2: Convert to fraction form
    9,698/14,628 = 14,628/x
  3. Step 3: Cross multiply
    9,698x = 14,628 × 14,628
  4. Step 4: Simplify right side
    9,698x = 213,978,384
  5. Step 5: Solve for x
    x = 213,978,384/9,698
  6. Step 6: Final answer
    x = 22,064.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.