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Finding the Third Proportional to 13,424 and 19,674

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Solution

The third proportional to 13,424 and 19,674 is: 28,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 19,674 = 19,674 : x
  2. Step 2: Convert to fraction form
    13,424/19,674 = 19,674/x
  3. Step 3: Cross multiply
    13,424x = 19,674 × 19,674
  4. Step 4: Simplify right side
    13,424x = 387,066,276
  5. Step 5: Solve for x
    x = 387,066,276/13,424
  6. Step 6: Final answer
    x = 28,833.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.