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Finding the Third Proportional to 14,236 and 19,034

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Solution

The third proportional to 14,236 and 19,034 is: 25,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 19,034 = 19,034 : x
  2. Step 2: Convert to fraction form
    14,236/19,034 = 19,034/x
  3. Step 3: Cross multiply
    14,236x = 19,034 × 19,034
  4. Step 4: Simplify right side
    14,236x = 362,293,156
  5. Step 5: Solve for x
    x = 362,293,156/14,236
  6. Step 6: Final answer
    x = 25,449.08

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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.