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Finding the Third Proportional to 24,663 and 38,647.50

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Solution

The third proportional to 24,663 and 38,647.50 is: 60,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663 : 38,647.50 = 38,647.50 : x
  2. Step 2: Convert to fraction form
    24,663/38,647.50 = 38,647.50/x
  3. Step 3: Cross multiply
    24,663x = 38,647.50 × 38,647.50
  4. Step 4: Simplify right side
    24,663x = 1,493,629,256.25
  5. Step 5: Solve for x
    x = 1,493,629,256.25/24,663
  6. Step 6: Final answer
    x = 60,561.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.