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Finding the Third Proportional to 34,290 and 50,146

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Solution

The third proportional to 34,290 and 50,146 is: 73,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,290 : 50,146 = 50,146 : x
  2. Step 2: Convert to fraction form
    34,290/50,146 = 50,146/x
  3. Step 3: Cross multiply
    34,290x = 50,146 × 50,146
  4. Step 4: Simplify right side
    34,290x = 2,514,621,316
  5. Step 5: Solve for x
    x = 2,514,621,316/34,290
  6. Step 6: Final answer
    x = 73,333.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.