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Finding the Third Proportional to 2,546 and 4,786

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Solution

The third proportional to 2,546 and 4,786 is: 8,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 4,786 = 4,786 : x
  2. Step 2: Convert to fraction form
    2,546/4,786 = 4,786/x
  3. Step 3: Cross multiply
    2,546x = 4,786 × 4,786
  4. Step 4: Simplify right side
    2,546x = 22,905,796
  5. Step 5: Solve for x
    x = 22,905,796/2,546
  6. Step 6: Final answer
    x = 8,996.78

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.