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Finding the Third Proportional to 26,824.50 and 38,688.75

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Solution

The third proportional to 26,824.50 and 38,688.75 is: 55,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.50 : 38,688.75 = 38,688.75 : x
  2. Step 2: Convert to fraction form
    26,824.50/38,688.75 = 38,688.75/x
  3. Step 3: Cross multiply
    26,824.50x = 38,688.75 × 38,688.75
  4. Step 4: Simplify right side
    26,824.50x = 1,496,819,376.56
  5. Step 5: Solve for x
    x = 1,496,819,376.56/26,824.50
  6. Step 6: Final answer
    x = 55,800.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.