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Finding the Third Proportional to 27,392.50 and 41,028

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Solution

The third proportional to 27,392.50 and 41,028 is: 61,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392.50 : 41,028 = 41,028 : x
  2. Step 2: Convert to fraction form
    27,392.50/41,028 = 41,028/x
  3. Step 3: Cross multiply
    27,392.50x = 41,028 × 41,028
  4. Step 4: Simplify right side
    27,392.50x = 1,683,296,784
  5. Step 5: Solve for x
    x = 1,683,296,784/27,392.50
  6. Step 6: Final answer
    x = 61,451.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.