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Finding the Third Proportional to 19,229 and 40,916

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Solution

The third proportional to 19,229 and 40,916 is: 87,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229 : 40,916 = 40,916 : x
  2. Step 2: Convert to fraction form
    19,229/40,916 = 40,916/x
  3. Step 3: Cross multiply
    19,229x = 40,916 × 40,916
  4. Step 4: Simplify right side
    19,229x = 1,674,119,056
  5. Step 5: Solve for x
    x = 1,674,119,056/19,229
  6. Step 6: Final answer
    x = 87,062.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.