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Finding the Third Proportional to 27,592.50 and 57,683.25

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Solution

The third proportional to 27,592.50 and 57,683.25 is: 120,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,592.50 : 57,683.25 = 57,683.25 : x
  2. Step 2: Convert to fraction form
    27,592.50/57,683.25 = 57,683.25/x
  3. Step 3: Cross multiply
    27,592.50x = 57,683.25 × 57,683.25
  4. Step 4: Simplify right side
    27,592.50x = 3,327,357,330.56
  5. Step 5: Solve for x
    x = 3,327,357,330.56/27,592.50
  6. Step 6: Final answer
    x = 120,589.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.