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Finding the Third Proportional to 2,906 and 6,232

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Solution

The third proportional to 2,906 and 6,232 is: 13,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 6,232 = 6,232 : x
  2. Step 2: Convert to fraction form
    2,906/6,232 = 6,232/x
  3. Step 3: Cross multiply
    2,906x = 6,232 × 6,232
  4. Step 4: Simplify right side
    2,906x = 38,837,824
  5. Step 5: Solve for x
    x = 38,837,824/2,906
  6. Step 6: Final answer
    x = 13,364.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.