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Finding the Third Proportional to 27,697.50 and 44,028

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Solution

The third proportional to 27,697.50 and 44,028 is: 69,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.50 : 44,028 = 44,028 : x
  2. Step 2: Convert to fraction form
    27,697.50/44,028 = 44,028/x
  3. Step 3: Cross multiply
    27,697.50x = 44,028 × 44,028
  4. Step 4: Simplify right side
    27,697.50x = 1,938,464,784
  5. Step 5: Solve for x
    x = 1,938,464,784/27,697.50
  6. Step 6: Final answer
    x = 69,986.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.