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Finding the Third Proportional to 16,438.50 and 24,080.25

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Solution

The third proportional to 16,438.50 and 24,080.25 is: 35,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.50 : 24,080.25 = 24,080.25 : x
  2. Step 2: Convert to fraction form
    16,438.50/24,080.25 = 24,080.25/x
  3. Step 3: Cross multiply
    16,438.50x = 24,080.25 × 24,080.25
  4. Step 4: Simplify right side
    16,438.50x = 579,858,440.06
  5. Step 5: Solve for x
    x = 579,858,440.06/16,438.50
  6. Step 6: Final answer
    x = 35,274.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.