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Finding the Third Proportional to 19,214 and 29,673

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Solution

The third proportional to 19,214 and 29,673 is: 45,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 29,673 = 29,673 : x
  2. Step 2: Convert to fraction form
    19,214/29,673 = 29,673/x
  3. Step 3: Cross multiply
    19,214x = 29,673 × 29,673
  4. Step 4: Simplify right side
    19,214x = 880,486,929
  5. Step 5: Solve for x
    x = 880,486,929/19,214
  6. Step 6: Final answer
    x = 45,825.28

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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.