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Finding the Third Proportional to 16,327.78 and 24,428.34

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Solution

The third proportional to 16,327.78 and 24,428.34 is: 36,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.78 : 24,428.34 = 24,428.34 : x
  2. Step 2: Convert to fraction form
    16,327.78/24,428.34 = 24,428.34/x
  3. Step 3: Cross multiply
    16,327.78x = 24,428.34 × 24,428.34
  4. Step 4: Simplify right side
    16,327.78x = 596,743,978.37
  5. Step 5: Solve for x
    x = 596,743,978.37/16,327.78
  6. Step 6: Final answer
    x = 36,547.77

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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.