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Finding the Third Proportional to 17,445 and 37,698

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Solution

The third proportional to 17,445 and 37,698 is: 81,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,445 : 37,698 = 37,698 : x
  2. Step 2: Convert to fraction form
    17,445/37,698 = 37,698/x
  3. Step 3: Cross multiply
    17,445x = 37,698 × 37,698
  4. Step 4: Simplify right side
    17,445x = 1,421,139,204
  5. Step 5: Solve for x
    x = 1,421,139,204/17,445
  6. Step 6: Final answer
    x = 81,463.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.