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Finding the Third Proportional to 17,094 and 35,915.63

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Solution

The third proportional to 17,094 and 35,915.63 is: 75,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094 : 35,915.63 = 35,915.63 : x
  2. Step 2: Convert to fraction form
    17,094/35,915.63 = 35,915.63/x
  3. Step 3: Cross multiply
    17,094x = 35,915.63 × 35,915.63
  4. Step 4: Simplify right side
    17,094x = 1,289,932,119.14
  5. Step 5: Solve for x
    x = 1,289,932,119.14/17,094
  6. Step 6: Final answer
    x = 75,461.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.