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Finding the Third Proportional to 31,200.75 and 49,614.75

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Solution

The third proportional to 31,200.75 and 49,614.75 is: 78,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.75 : 49,614.75 = 49,614.75 : x
  2. Step 2: Convert to fraction form
    31,200.75/49,614.75 = 49,614.75/x
  3. Step 3: Cross multiply
    31,200.75x = 49,614.75 × 49,614.75
  4. Step 4: Simplify right side
    31,200.75x = 2,461,623,417.56
  5. Step 5: Solve for x
    x = 2,461,623,417.56/31,200.75
  6. Step 6: Final answer
    x = 78,896.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.