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Finding the Third Proportional to 6,456 and 10,237

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Solution

The third proportional to 6,456 and 10,237 is: 16,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 10,237 = 10,237 : x
  2. Step 2: Convert to fraction form
    6,456/10,237 = 10,237/x
  3. Step 3: Cross multiply
    6,456x = 10,237 × 10,237
  4. Step 4: Simplify right side
    6,456x = 104,796,169
  5. Step 5: Solve for x
    x = 104,796,169/6,456
  6. Step 6: Final answer
    x = 16,232.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.