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Finding the Third Proportional to 16,574 and 25,269

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Solution

The third proportional to 16,574 and 25,269 is: 38,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574 : 25,269 = 25,269 : x
  2. Step 2: Convert to fraction form
    16,574/25,269 = 25,269/x
  3. Step 3: Cross multiply
    16,574x = 25,269 × 25,269
  4. Step 4: Simplify right side
    16,574x = 638,522,361
  5. Step 5: Solve for x
    x = 638,522,361/16,574
  6. Step 6: Final answer
    x = 38,525.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.