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Finding the Third Proportional to 13,574 and 19,254

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Solution

The third proportional to 13,574 and 19,254 is: 27,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 19,254 = 19,254 : x
  2. Step 2: Convert to fraction form
    13,574/19,254 = 19,254/x
  3. Step 3: Cross multiply
    13,574x = 19,254 × 19,254
  4. Step 4: Simplify right side
    13,574x = 370,716,516
  5. Step 5: Solve for x
    x = 370,716,516/13,574
  6. Step 6: Final answer
    x = 27,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.