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Finding the Third Proportional to 33,045 and 47,356.50

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Solution

The third proportional to 33,045 and 47,356.50 is: 67,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045 : 47,356.50 = 47,356.50 : x
  2. Step 2: Convert to fraction form
    33,045/47,356.50 = 47,356.50/x
  3. Step 3: Cross multiply
    33,045x = 47,356.50 × 47,356.50
  4. Step 4: Simplify right side
    33,045x = 2,242,638,092.25
  5. Step 5: Solve for x
    x = 2,242,638,092.25/33,045
  6. Step 6: Final answer
    x = 67,866.19

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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.