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Finding the Third Proportional to 33,562 and 47,046

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Solution

The third proportional to 33,562 and 47,046 is: 65,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562 : 47,046 = 47,046 : x
  2. Step 2: Convert to fraction form
    33,562/47,046 = 47,046/x
  3. Step 3: Cross multiply
    33,562x = 47,046 × 47,046
  4. Step 4: Simplify right side
    33,562x = 2,213,326,116
  5. Step 5: Solve for x
    x = 2,213,326,116/33,562
  6. Step 6: Final answer
    x = 65,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.