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Finding the Third Proportional to 29,767.50 and 40,427

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Solution

The third proportional to 29,767.50 and 40,427 is: 54,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.50 : 40,427 = 40,427 : x
  2. Step 2: Convert to fraction form
    29,767.50/40,427 = 40,427/x
  3. Step 3: Cross multiply
    29,767.50x = 40,427 × 40,427
  4. Step 4: Simplify right side
    29,767.50x = 1,634,342,329
  5. Step 5: Solve for x
    x = 1,634,342,329/29,767.50
  6. Step 6: Final answer
    x = 54,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.