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Finding the Third Proportional to 16,500 and 36,688

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Solution

The third proportional to 16,500 and 36,688 is: 81,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 36,688 = 36,688 : x
  2. Step 2: Convert to fraction form
    16,500/36,688 = 36,688/x
  3. Step 3: Cross multiply
    16,500x = 36,688 × 36,688
  4. Step 4: Simplify right side
    16,500x = 1,346,009,344
  5. Step 5: Solve for x
    x = 1,346,009,344/16,500
  6. Step 6: Final answer
    x = 81,576.32

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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.