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Finding the Third Proportional to 13,077 and 19,674

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Solution

The third proportional to 13,077 and 19,674 is: 29,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 19,674 = 19,674 : x
  2. Step 2: Convert to fraction form
    13,077/19,674 = 19,674/x
  3. Step 3: Cross multiply
    13,077x = 19,674 × 19,674
  4. Step 4: Simplify right side
    13,077x = 387,066,276
  5. Step 5: Solve for x
    x = 387,066,276/13,077
  6. Step 6: Final answer
    x = 29,599.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.