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Finding the Third Proportional to 6,842 and 14,633

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Solution

The third proportional to 6,842 and 14,633 is: 31,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842 : 14,633 = 14,633 : x
  2. Step 2: Convert to fraction form
    6,842/14,633 = 14,633/x
  3. Step 3: Cross multiply
    6,842x = 14,633 × 14,633
  4. Step 4: Simplify right side
    6,842x = 214,124,689
  5. Step 5: Solve for x
    x = 214,124,689/6,842
  6. Step 6: Final answer
    x = 31,295.63

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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.