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Finding the Third Proportional to 33,051 and 47,365.50

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Solution

The third proportional to 33,051 and 47,365.50 is: 67,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051 : 47,365.50 = 47,365.50 : x
  2. Step 2: Convert to fraction form
    33,051/47,365.50 = 47,365.50/x
  3. Step 3: Cross multiply
    33,051x = 47,365.50 × 47,365.50
  4. Step 4: Simplify right side
    33,051x = 2,243,490,590.25
  5. Step 5: Solve for x
    x = 2,243,490,590.25/33,051
  6. Step 6: Final answer
    x = 67,879.66

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