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Finding the Third Proportional to 24,493.50 and 55,395

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Solution

The third proportional to 24,493.50 and 55,395 is: 125,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.50 : 55,395 = 55,395 : x
  2. Step 2: Convert to fraction form
    24,493.50/55,395 = 55,395/x
  3. Step 3: Cross multiply
    24,493.50x = 55,395 × 55,395
  4. Step 4: Simplify right side
    24,493.50x = 3,068,606,025
  5. Step 5: Solve for x
    x = 3,068,606,025/24,493.50
  6. Step 6: Final answer
    x = 125,282.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.