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Finding the Third Proportional to 7,842 and 14,442

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Solution

The third proportional to 7,842 and 14,442 is: 26,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 14,442 = 14,442 : x
  2. Step 2: Convert to fraction form
    7,842/14,442 = 14,442/x
  3. Step 3: Cross multiply
    7,842x = 14,442 × 14,442
  4. Step 4: Simplify right side
    7,842x = 208,571,364
  5. Step 5: Solve for x
    x = 208,571,364/7,842
  6. Step 6: Final answer
    x = 26,596.71

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.