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Finding the Third Proportional to 27,724.88 and 40,599.75

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Solution

The third proportional to 27,724.88 and 40,599.75 is: 59,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.88 : 40,599.75 = 40,599.75 : x
  2. Step 2: Convert to fraction form
    27,724.88/40,599.75 = 40,599.75/x
  3. Step 3: Cross multiply
    27,724.88x = 40,599.75 × 40,599.75
  4. Step 4: Simplify right side
    27,724.88x = 1,648,339,700.06
  5. Step 5: Solve for x
    x = 1,648,339,700.06/27,724.88
  6. Step 6: Final answer
    x = 59,453.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.