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Finding the Third Proportional to 27,688.50 and 44,016.75

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Solution

The third proportional to 27,688.50 and 44,016.75 is: 69,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.50 : 44,016.75 = 44,016.75 : x
  2. Step 2: Convert to fraction form
    27,688.50/44,016.75 = 44,016.75/x
  3. Step 3: Cross multiply
    27,688.50x = 44,016.75 × 44,016.75
  4. Step 4: Simplify right side
    27,688.50x = 1,937,474,280.56
  5. Step 5: Solve for x
    x = 1,937,474,280.56/27,688.50
  6. Step 6: Final answer
    x = 69,973.97

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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.