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Finding the Third Proportional to 16,415.16 and 24,383.53

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Solution

The third proportional to 16,415.16 and 24,383.53 is: 36,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.16 : 24,383.53 = 24,383.53 : x
  2. Step 2: Convert to fraction form
    16,415.16/24,383.53 = 24,383.53/x
  3. Step 3: Cross multiply
    16,415.16x = 24,383.53 × 24,383.53
  4. Step 4: Simplify right side
    16,415.16x = 594,556,596.22
  5. Step 5: Solve for x
    x = 594,556,596.22/16,415.16
  6. Step 6: Final answer
    x = 36,219.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.