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Finding the Third Proportional to 51,774.75 and 76,933.13

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Solution

The third proportional to 51,774.75 and 76,933.13 is: 114,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.75 : 76,933.13 = 76,933.13 : x
  2. Step 2: Convert to fraction form
    51,774.75/76,933.13 = 76,933.13/x
  3. Step 3: Cross multiply
    51,774.75x = 76,933.13 × 76,933.13
  4. Step 4: Simplify right side
    51,774.75x = 5,918,705,722.27
  5. Step 5: Solve for x
    x = 5,918,705,722.27/51,774.75
  6. Step 6: Final answer
    x = 114,316.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.