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Finding the Third Proportional to 16,013.25 and 24,071.25

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Solution

The third proportional to 16,013.25 and 24,071.25 is: 36,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.25 : 24,071.25 = 24,071.25 : x
  2. Step 2: Convert to fraction form
    16,013.25/24,071.25 = 24,071.25/x
  3. Step 3: Cross multiply
    16,013.25x = 24,071.25 × 24,071.25
  4. Step 4: Simplify right side
    16,013.25x = 579,425,076.56
  5. Step 5: Solve for x
    x = 579,425,076.56/16,013.25
  6. Step 6: Final answer
    x = 36,184.10

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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.