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Finding the Third Proportional to 15,454 and 33,098

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Solution

The third proportional to 15,454 and 33,098 is: 70,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454 : 33,098 = 33,098 : x
  2. Step 2: Convert to fraction form
    15,454/33,098 = 33,098/x
  3. Step 3: Cross multiply
    15,454x = 33,098 × 33,098
  4. Step 4: Simplify right side
    15,454x = 1,095,477,604
  5. Step 5: Solve for x
    x = 1,095,477,604/15,454
  6. Step 6: Final answer
    x = 70,886.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.