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Finding the Third Proportional to 16,032 and 24,024

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Solution

The third proportional to 16,032 and 24,024 is: 36,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 24,024 = 24,024 : x
  2. Step 2: Convert to fraction form
    16,032/24,024 = 24,024/x
  3. Step 3: Cross multiply
    16,032x = 24,024 × 24,024
  4. Step 4: Simplify right side
    16,032x = 577,152,576
  5. Step 5: Solve for x
    x = 577,152,576/16,032
  6. Step 6: Final answer
    x = 36,000.04

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Why These Related Problems?

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