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Finding the Third Proportional to 16,075.50 and 24,576.50

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Solution

The third proportional to 16,075.50 and 24,576.50 is: 37,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.50 : 24,576.50 = 24,576.50 : x
  2. Step 2: Convert to fraction form
    16,075.50/24,576.50 = 24,576.50/x
  3. Step 3: Cross multiply
    16,075.50x = 24,576.50 × 24,576.50
  4. Step 4: Simplify right side
    16,075.50x = 604,004,352.25
  5. Step 5: Solve for x
    x = 604,004,352.25/16,075.50
  6. Step 6: Final answer
    x = 37,572.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.