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Finding the Third Proportional to 34,126 and 52,646

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Solution

The third proportional to 34,126 and 52,646 is: 81,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126 : 52,646 = 52,646 : x
  2. Step 2: Convert to fraction form
    34,126/52,646 = 52,646/x
  3. Step 3: Cross multiply
    34,126x = 52,646 × 52,646
  4. Step 4: Simplify right side
    34,126x = 2,771,601,316
  5. Step 5: Solve for x
    x = 2,771,601,316/34,126
  6. Step 6: Final answer
    x = 81,216.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.