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Finding the Third Proportional to 16,311.63 and 24,459.88

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Solution

The third proportional to 16,311.63 and 24,459.88 is: 36,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.63 : 24,459.88 = 24,459.88 : x
  2. Step 2: Convert to fraction form
    16,311.63/24,459.88 = 24,459.88/x
  3. Step 3: Cross multiply
    16,311.63x = 24,459.88 × 24,459.88
  4. Step 4: Simplify right side
    16,311.63x = 598,285,485.02
  5. Step 5: Solve for x
    x = 598,285,485.02/16,311.63
  6. Step 6: Final answer
    x = 36,678.47

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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.