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Finding the Third Proportional to 37,896 and 56,104

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Solution

The third proportional to 37,896 and 56,104 is: 83,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896 : 56,104 = 56,104 : x
  2. Step 2: Convert to fraction form
    37,896/56,104 = 56,104/x
  3. Step 3: Cross multiply
    37,896x = 56,104 × 56,104
  4. Step 4: Simplify right side
    37,896x = 3,147,658,816
  5. Step 5: Solve for x
    x = 3,147,658,816/37,896
  6. Step 6: Final answer
    x = 83,060.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.