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Finding the Third Proportional to 31,212 and 47,865.94

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Solution

The third proportional to 31,212 and 47,865.94 is: 73,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212 : 47,865.94 = 47,865.94 : x
  2. Step 2: Convert to fraction form
    31,212/47,865.94 = 47,865.94/x
  3. Step 3: Cross multiply
    31,212x = 47,865.94 × 47,865.94
  4. Step 4: Simplify right side
    31,212x = 2,291,147,972.75
  5. Step 5: Solve for x
    x = 2,291,147,972.75/31,212
  6. Step 6: Final answer
    x = 73,406.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.