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Finding the Third Proportional to 34,670 and 49,546

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Solution

The third proportional to 34,670 and 49,546 is: 70,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670 : 49,546 = 49,546 : x
  2. Step 2: Convert to fraction form
    34,670/49,546 = 49,546/x
  3. Step 3: Cross multiply
    34,670x = 49,546 × 49,546
  4. Step 4: Simplify right side
    34,670x = 2,454,806,116
  5. Step 5: Solve for x
    x = 2,454,806,116/34,670
  6. Step 6: Final answer
    x = 70,804.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.