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Finding the Third Proportional to 24,706.50 and 54,939

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Solution

The third proportional to 24,706.50 and 54,939 is: 122,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.50 : 54,939 = 54,939 : x
  2. Step 2: Convert to fraction form
    24,706.50/54,939 = 54,939/x
  3. Step 3: Cross multiply
    24,706.50x = 54,939 × 54,939
  4. Step 4: Simplify right side
    24,706.50x = 3,018,293,721
  5. Step 5: Solve for x
    x = 3,018,293,721/24,706.50
  6. Step 6: Final answer
    x = 122,165.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.