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Finding the Third Proportional to 792.50 and 1,189.75

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Solution

The third proportional to 792.50 and 1,189.75 is: 1,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,189.75 = 1,189.75 : x
  2. Step 2: Convert to fraction form
    792.50/1,189.75 = 1,189.75/x
  3. Step 3: Cross multiply
    792.50x = 1,189.75 × 1,189.75
  4. Step 4: Simplify right side
    792.50x = 1,415,505.06
  5. Step 5: Solve for x
    x = 1,415,505.06/792.50
  6. Step 6: Final answer
    x = 1,786.13

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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.