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Finding the Third Proportional to 29,400 and 42,867

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Solution

The third proportional to 29,400 and 42,867 is: 62,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400 : 42,867 = 42,867 : x
  2. Step 2: Convert to fraction form
    29,400/42,867 = 42,867/x
  3. Step 3: Cross multiply
    29,400x = 42,867 × 42,867
  4. Step 4: Simplify right side
    29,400x = 1,837,579,689
  5. Step 5: Solve for x
    x = 1,837,579,689/29,400
  6. Step 6: Final answer
    x = 62,502.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.