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Finding the Third Proportional to 30,888 and 44,127

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Solution

The third proportional to 30,888 and 44,127 is: 63,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 44,127 = 44,127 : x
  2. Step 2: Convert to fraction form
    30,888/44,127 = 44,127/x
  3. Step 3: Cross multiply
    30,888x = 44,127 × 44,127
  4. Step 4: Simplify right side
    30,888x = 1,947,192,129
  5. Step 5: Solve for x
    x = 1,947,192,129/30,888
  6. Step 6: Final answer
    x = 63,040.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.