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Finding the Third Proportional to 29,229 and 44,214.75

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Solution

The third proportional to 29,229 and 44,214.75 is: 66,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,229 : 44,214.75 = 44,214.75 : x
  2. Step 2: Convert to fraction form
    29,229/44,214.75 = 44,214.75/x
  3. Step 3: Cross multiply
    29,229x = 44,214.75 × 44,214.75
  4. Step 4: Simplify right side
    29,229x = 1,954,944,117.56
  5. Step 5: Solve for x
    x = 1,954,944,117.56/29,229
  6. Step 6: Final answer
    x = 66,883.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.