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Finding the Third Proportional to 31,749.75 and 46,676.25

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Solution

The third proportional to 31,749.75 and 46,676.25 is: 68,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749.75 : 46,676.25 = 46,676.25 : x
  2. Step 2: Convert to fraction form
    31,749.75/46,676.25 = 46,676.25/x
  3. Step 3: Cross multiply
    31,749.75x = 46,676.25 × 46,676.25
  4. Step 4: Simplify right side
    31,749.75x = 2,178,672,314.06
  5. Step 5: Solve for x
    x = 2,178,672,314.06/31,749.75
  6. Step 6: Final answer
    x = 68,620.14

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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.