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Finding the Third Proportional to 12,499.69 and 17,579.81

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Solution

The third proportional to 12,499.69 and 17,579.81 is: 24,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.69 : 17,579.81 = 17,579.81 : x
  2. Step 2: Convert to fraction form
    12,499.69/17,579.81 = 17,579.81/x
  3. Step 3: Cross multiply
    12,499.69x = 17,579.81 × 17,579.81
  4. Step 4: Simplify right side
    12,499.69x = 309,049,807.54
  5. Step 5: Solve for x
    x = 309,049,807.54/12,499.69
  6. Step 6: Final answer
    x = 24,724.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.