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Finding the Third Proportional to 31,500 and 46,843.50

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Solution

The third proportional to 31,500 and 46,843.50 is: 69,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500 : 46,843.50 = 46,843.50 : x
  2. Step 2: Convert to fraction form
    31,500/46,843.50 = 46,843.50/x
  3. Step 3: Cross multiply
    31,500x = 46,843.50 × 46,843.50
  4. Step 4: Simplify right side
    31,500x = 2,194,313,492.25
  5. Step 5: Solve for x
    x = 2,194,313,492.25/31,500
  6. Step 6: Final answer
    x = 69,660.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.