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Finding the Third Proportional to 20,298.09 and 30,416.77

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Solution

The third proportional to 20,298.09 and 30,416.77 is: 45,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.09 : 30,416.77 = 30,416.77 : x
  2. Step 2: Convert to fraction form
    20,298.09/30,416.77 = 30,416.77/x
  3. Step 3: Cross multiply
    20,298.09x = 30,416.77 × 30,416.77
  4. Step 4: Simplify right side
    20,298.09x = 925,179,631.09
  5. Step 5: Solve for x
    x = 925,179,631.09/20,298.09
  6. Step 6: Final answer
    x = 45,579.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.