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Finding the Third Proportional to 46,034 and 71,085

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Solution

The third proportional to 46,034 and 71,085 is: 109,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034 : 71,085 = 71,085 : x
  2. Step 2: Convert to fraction form
    46,034/71,085 = 71,085/x
  3. Step 3: Cross multiply
    46,034x = 71,085 × 71,085
  4. Step 4: Simplify right side
    46,034x = 5,053,077,225
  5. Step 5: Solve for x
    x = 5,053,077,225/46,034
  6. Step 6: Final answer
    x = 109,768.37

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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.