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Finding the Third Proportional to 27,568.50 and 58,372.50

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Solution

The third proportional to 27,568.50 and 58,372.50 is: 123,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.50 : 58,372.50 = 58,372.50 : x
  2. Step 2: Convert to fraction form
    27,568.50/58,372.50 = 58,372.50/x
  3. Step 3: Cross multiply
    27,568.50x = 58,372.50 × 58,372.50
  4. Step 4: Simplify right side
    27,568.50x = 3,407,348,756.25
  5. Step 5: Solve for x
    x = 3,407,348,756.25/27,568.50
  6. Step 6: Final answer
    x = 123,595.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.