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Finding the Third Proportional to 16,971 and 35,106

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Solution

The third proportional to 16,971 and 35,106 is: 72,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971 : 35,106 = 35,106 : x
  2. Step 2: Convert to fraction form
    16,971/35,106 = 35,106/x
  3. Step 3: Cross multiply
    16,971x = 35,106 × 35,106
  4. Step 4: Simplify right side
    16,971x = 1,232,431,236
  5. Step 5: Solve for x
    x = 1,232,431,236/16,971
  6. Step 6: Final answer
    x = 72,619.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.