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Finding the Third Proportional to 33,328.75 and 46,874.50

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Solution

The third proportional to 33,328.75 and 46,874.50 is: 65,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,328.75 : 46,874.50 = 46,874.50 : x
  2. Step 2: Convert to fraction form
    33,328.75/46,874.50 = 46,874.50/x
  3. Step 3: Cross multiply
    33,328.75x = 46,874.50 × 46,874.50
  4. Step 4: Simplify right side
    33,328.75x = 2,197,218,750.25
  5. Step 5: Solve for x
    x = 2,197,218,750.25/33,328.75
  6. Step 6: Final answer
    x = 65,925.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.