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Finding the Third Proportional to 10,362 and 26,571

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Solution

The third proportional to 10,362 and 26,571 is: 68,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 26,571 = 26,571 : x
  2. Step 2: Convert to fraction form
    10,362/26,571 = 26,571/x
  3. Step 3: Cross multiply
    10,362x = 26,571 × 26,571
  4. Step 4: Simplify right side
    10,362x = 706,018,041
  5. Step 5: Solve for x
    x = 706,018,041/10,362
  6. Step 6: Final answer
    x = 68,135.31

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.