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Finding the Third Proportional to 15,398 and 33,097

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Solution

The third proportional to 15,398 and 33,097 is: 71,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398 : 33,097 = 33,097 : x
  2. Step 2: Convert to fraction form
    15,398/33,097 = 33,097/x
  3. Step 3: Cross multiply
    15,398x = 33,097 × 33,097
  4. Step 4: Simplify right side
    15,398x = 1,095,411,409
  5. Step 5: Solve for x
    x = 1,095,411,409/15,398
  6. Step 6: Final answer
    x = 71,139.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.