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Finding the Third Proportional to 27,525.75 and 38,300.25

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Solution

The third proportional to 27,525.75 and 38,300.25 is: 53,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.75 : 38,300.25 = 38,300.25 : x
  2. Step 2: Convert to fraction form
    27,525.75/38,300.25 = 38,300.25/x
  3. Step 3: Cross multiply
    27,525.75x = 38,300.25 × 38,300.25
  4. Step 4: Simplify right side
    27,525.75x = 1,466,909,150.06
  5. Step 5: Solve for x
    x = 1,466,909,150.06/27,525.75
  6. Step 6: Final answer
    x = 53,292.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.