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Finding the Third Proportional to 1,942 and 5,236

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Solution

The third proportional to 1,942 and 5,236 is: 14,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942 : 5,236 = 5,236 : x
  2. Step 2: Convert to fraction form
    1,942/5,236 = 5,236/x
  3. Step 3: Cross multiply
    1,942x = 5,236 × 5,236
  4. Step 4: Simplify right side
    1,942x = 27,415,696
  5. Step 5: Solve for x
    x = 27,415,696/1,942
  6. Step 6: Final answer
    x = 14,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.