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Finding the Third Proportional to 14,228 and 19,036

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Solution

The third proportional to 14,228 and 19,036 is: 25,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228 : 19,036 = 19,036 : x
  2. Step 2: Convert to fraction form
    14,228/19,036 = 19,036/x
  3. Step 3: Cross multiply
    14,228x = 19,036 × 19,036
  4. Step 4: Simplify right side
    14,228x = 362,369,296
  5. Step 5: Solve for x
    x = 362,369,296/14,228
  6. Step 6: Final answer
    x = 25,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.