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Finding the Third Proportional to 14,909 and 33,098

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Solution

The third proportional to 14,909 and 33,098 is: 73,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909 : 33,098 = 33,098 : x
  2. Step 2: Convert to fraction form
    14,909/33,098 = 33,098/x
  3. Step 3: Cross multiply
    14,909x = 33,098 × 33,098
  4. Step 4: Simplify right side
    14,909x = 1,095,477,604
  5. Step 5: Solve for x
    x = 1,095,477,604/14,909
  6. Step 6: Final answer
    x = 73,477.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.