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Finding the Third Proportional to 24,856.50 and 37,647

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Solution

The third proportional to 24,856.50 and 37,647 is: 57,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.50 : 37,647 = 37,647 : x
  2. Step 2: Convert to fraction form
    24,856.50/37,647 = 37,647/x
  3. Step 3: Cross multiply
    24,856.50x = 37,647 × 37,647
  4. Step 4: Simplify right side
    24,856.50x = 1,417,296,609
  5. Step 5: Solve for x
    x = 1,417,296,609/24,856.50
  6. Step 6: Final answer
    x = 57,019.15

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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.