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Finding the Third Proportional to 16,054 and 35,310

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Solution

The third proportional to 16,054 and 35,310 is: 77,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 35,310 = 35,310 : x
  2. Step 2: Convert to fraction form
    16,054/35,310 = 35,310/x
  3. Step 3: Cross multiply
    16,054x = 35,310 × 35,310
  4. Step 4: Simplify right side
    16,054x = 1,246,796,100
  5. Step 5: Solve for x
    x = 1,246,796,100/16,054
  6. Step 6: Final answer
    x = 77,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.