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Finding the Third Proportional to 18,316 and 35,173

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Solution

The third proportional to 18,316 and 35,173 is: 67,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316 : 35,173 = 35,173 : x
  2. Step 2: Convert to fraction form
    18,316/35,173 = 35,173/x
  3. Step 3: Cross multiply
    18,316x = 35,173 × 35,173
  4. Step 4: Simplify right side
    18,316x = 1,237,139,929
  5. Step 5: Solve for x
    x = 1,237,139,929/18,316
  6. Step 6: Final answer
    x = 67,544.22

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.