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Finding the Third Proportional to 16,912 and 37,706

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Solution

The third proportional to 16,912 and 37,706 is: 84,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912 : 37,706 = 37,706 : x
  2. Step 2: Convert to fraction form
    16,912/37,706 = 37,706/x
  3. Step 3: Cross multiply
    16,912x = 37,706 × 37,706
  4. Step 4: Simplify right side
    16,912x = 1,421,742,436
  5. Step 5: Solve for x
    x = 1,421,742,436/16,912
  6. Step 6: Final answer
    x = 84,067.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.