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Finding the Third Proportional to 31,884.75 and 46,852.88

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Solution

The third proportional to 31,884.75 and 46,852.88 is: 68,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.75 : 46,852.88 = 46,852.88 : x
  2. Step 2: Convert to fraction form
    31,884.75/46,852.88 = 46,852.88/x
  3. Step 3: Cross multiply
    31,884.75x = 46,852.88 × 46,852.88
  4. Step 4: Simplify right side
    31,884.75x = 2,195,191,895.77
  5. Step 5: Solve for x
    x = 2,195,191,895.77/31,884.75
  6. Step 6: Final answer
    x = 68,847.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.