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Finding the Third Proportional to 29,194 and 42,821

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Solution

The third proportional to 29,194 and 42,821 is: 62,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 42,821 = 42,821 : x
  2. Step 2: Convert to fraction form
    29,194/42,821 = 42,821/x
  3. Step 3: Cross multiply
    29,194x = 42,821 × 42,821
  4. Step 4: Simplify right side
    29,194x = 1,833,638,041
  5. Step 5: Solve for x
    x = 1,833,638,041/29,194
  6. Step 6: Final answer
    x = 62,808.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.