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Finding the Third Proportional to 7,848 and 10,341

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Solution

The third proportional to 7,848 and 10,341 is: 13,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,341 = 10,341 : x
  2. Step 2: Convert to fraction form
    7,848/10,341 = 10,341/x
  3. Step 3: Cross multiply
    7,848x = 10,341 × 10,341
  4. Step 4: Simplify right side
    7,848x = 106,936,281
  5. Step 5: Solve for x
    x = 106,936,281/7,848
  6. Step 6: Final answer
    x = 13,625.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.