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Finding the Third Proportional to 16,410 and 33,788

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Solution

The third proportional to 16,410 and 33,788 is: 69,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 33,788 = 33,788 : x
  2. Step 2: Convert to fraction form
    16,410/33,788 = 33,788/x
  3. Step 3: Cross multiply
    16,410x = 33,788 × 33,788
  4. Step 4: Simplify right side
    16,410x = 1,141,628,944
  5. Step 5: Solve for x
    x = 1,141,628,944/16,410
  6. Step 6: Final answer
    x = 69,569.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.