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Finding the Third Proportional to 51,816.75 and 77,725.50

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Solution

The third proportional to 51,816.75 and 77,725.50 is: 116,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816.75 : 77,725.50 = 77,725.50 : x
  2. Step 2: Convert to fraction form
    51,816.75/77,725.50 = 77,725.50/x
  3. Step 3: Cross multiply
    51,816.75x = 77,725.50 × 77,725.50
  4. Step 4: Simplify right side
    51,816.75x = 6,041,253,350.25
  5. Step 5: Solve for x
    x = 6,041,253,350.25/51,816.75
  6. Step 6: Final answer
    x = 116,588.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.