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Finding the Third Proportional to 27,130.50 and 36,002.25

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Solution

The third proportional to 27,130.50 and 36,002.25 is: 47,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.50 : 36,002.25 = 36,002.25 : x
  2. Step 2: Convert to fraction form
    27,130.50/36,002.25 = 36,002.25/x
  3. Step 3: Cross multiply
    27,130.50x = 36,002.25 × 36,002.25
  4. Step 4: Simplify right side
    27,130.50x = 1,296,162,005.06
  5. Step 5: Solve for x
    x = 1,296,162,005.06/27,130.50
  6. Step 6: Final answer
    x = 47,775.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.