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Finding the Third Proportional to 16,748 and 37,168

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Solution

The third proportional to 16,748 and 37,168 is: 82,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748 : 37,168 = 37,168 : x
  2. Step 2: Convert to fraction form
    16,748/37,168 = 37,168/x
  3. Step 3: Cross multiply
    16,748x = 37,168 × 37,168
  4. Step 4: Simplify right side
    16,748x = 1,381,460,224
  5. Step 5: Solve for x
    x = 1,381,460,224/16,748
  6. Step 6: Final answer
    x = 82,485.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.