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Finding the Third Proportional to 7,138 and 14,942

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Solution

The third proportional to 7,138 and 14,942 is: 31,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 14,942 = 14,942 : x
  2. Step 2: Convert to fraction form
    7,138/14,942 = 14,942/x
  3. Step 3: Cross multiply
    7,138x = 14,942 × 14,942
  4. Step 4: Simplify right side
    7,138x = 223,263,364
  5. Step 5: Solve for x
    x = 223,263,364/7,138
  6. Step 6: Final answer
    x = 31,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.