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Finding the Third Proportional to 9,098 and 14,467

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Solution

The third proportional to 9,098 and 14,467 is: 23,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098 : 14,467 = 14,467 : x
  2. Step 2: Convert to fraction form
    9,098/14,467 = 14,467/x
  3. Step 3: Cross multiply
    9,098x = 14,467 × 14,467
  4. Step 4: Simplify right side
    9,098x = 209,294,089
  5. Step 5: Solve for x
    x = 209,294,089/9,098
  6. Step 6: Final answer
    x = 23,004.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.