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Finding the Third Proportional to 19,734 and 29,804

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Solution

The third proportional to 19,734 and 29,804 is: 45,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 29,804 = 29,804 : x
  2. Step 2: Convert to fraction form
    19,734/29,804 = 29,804/x
  3. Step 3: Cross multiply
    19,734x = 29,804 × 29,804
  4. Step 4: Simplify right side
    19,734x = 888,278,416
  5. Step 5: Solve for x
    x = 888,278,416/19,734
  6. Step 6: Final answer
    x = 45,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.