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Finding the Third Proportional to 16,125.75 and 24,431.63

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Solution

The third proportional to 16,125.75 and 24,431.63 is: 37,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.75 : 24,431.63 = 24,431.63 : x
  2. Step 2: Convert to fraction form
    16,125.75/24,431.63 = 24,431.63/x
  3. Step 3: Cross multiply
    16,125.75x = 24,431.63 × 24,431.63
  4. Step 4: Simplify right side
    16,125.75x = 596,904,300.14
  5. Step 5: Solve for x
    x = 596,904,300.14/16,125.75
  6. Step 6: Final answer
    x = 37,015.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.