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Finding the Third Proportional to 27,904.50 and 36,186.75

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Solution

The third proportional to 27,904.50 and 36,186.75 is: 46,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.50 : 36,186.75 = 36,186.75 : x
  2. Step 2: Convert to fraction form
    27,904.50/36,186.75 = 36,186.75/x
  3. Step 3: Cross multiply
    27,904.50x = 36,186.75 × 36,186.75
  4. Step 4: Simplify right side
    27,904.50x = 1,309,480,875.56
  5. Step 5: Solve for x
    x = 1,309,480,875.56/27,904.50
  6. Step 6: Final answer
    x = 46,927.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.