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Finding the Third Proportional to 16,736 and 36,088

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Solution

The third proportional to 16,736 and 36,088 is: 77,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736 : 36,088 = 36,088 : x
  2. Step 2: Convert to fraction form
    16,736/36,088 = 36,088/x
  3. Step 3: Cross multiply
    16,736x = 36,088 × 36,088
  4. Step 4: Simplify right side
    16,736x = 1,302,343,744
  5. Step 5: Solve for x
    x = 1,302,343,744/16,736
  6. Step 6: Final answer
    x = 77,816.91

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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.