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Finding the Third Proportional to 24,837 and 37,576.50

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Solution

The third proportional to 24,837 and 37,576.50 is: 56,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 37,576.50 = 37,576.50 : x
  2. Step 2: Convert to fraction form
    24,837/37,576.50 = 37,576.50/x
  3. Step 3: Cross multiply
    24,837x = 37,576.50 × 37,576.50
  4. Step 4: Simplify right side
    24,837x = 1,411,993,352.25
  5. Step 5: Solve for x
    x = 1,411,993,352.25/24,837
  6. Step 6: Final answer
    x = 56,850.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.