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Finding the Third Proportional to 27,525.75 and 38,513.25

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Solution

The third proportional to 27,525.75 and 38,513.25 is: 53,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.75 : 38,513.25 = 38,513.25 : x
  2. Step 2: Convert to fraction form
    27,525.75/38,513.25 = 38,513.25/x
  3. Step 3: Cross multiply
    27,525.75x = 38,513.25 × 38,513.25
  4. Step 4: Simplify right side
    27,525.75x = 1,483,270,425.56
  5. Step 5: Solve for x
    x = 1,483,270,425.56/27,525.75
  6. Step 6: Final answer
    x = 53,886.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.