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Finding the Third Proportional to 17,768 and 36,146

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Solution

The third proportional to 17,768 and 36,146 is: 73,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 36,146 = 36,146 : x
  2. Step 2: Convert to fraction form
    17,768/36,146 = 36,146/x
  3. Step 3: Cross multiply
    17,768x = 36,146 × 36,146
  4. Step 4: Simplify right side
    17,768x = 1,306,533,316
  5. Step 5: Solve for x
    x = 1,306,533,316/17,768
  6. Step 6: Final answer
    x = 73,532.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.