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Finding the Third Proportional to 46,044.50 and 72,768.75

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Solution

The third proportional to 46,044.50 and 72,768.75 is: 115,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044.50 : 72,768.75 = 72,768.75 : x
  2. Step 2: Convert to fraction form
    46,044.50/72,768.75 = 72,768.75/x
  3. Step 3: Cross multiply
    46,044.50x = 72,768.75 × 72,768.75
  4. Step 4: Simplify right side
    46,044.50x = 5,295,290,976.56
  5. Step 5: Solve for x
    x = 5,295,290,976.56/46,044.50
  6. Step 6: Final answer
    x = 115,003.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.