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Finding the Third Proportional to 30,494 and 66,146

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Solution

The third proportional to 30,494 and 66,146 is: 143,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494 : 66,146 = 66,146 : x
  2. Step 2: Convert to fraction form
    30,494/66,146 = 66,146/x
  3. Step 3: Cross multiply
    30,494x = 66,146 × 66,146
  4. Step 4: Simplify right side
    30,494x = 4,375,293,316
  5. Step 5: Solve for x
    x = 4,375,293,316/30,494
  6. Step 6: Final answer
    x = 143,480.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.