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Finding the Third Proportional to 19,513 and 41,457

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Solution

The third proportional to 19,513 and 41,457 is: 88,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513 : 41,457 = 41,457 : x
  2. Step 2: Convert to fraction form
    19,513/41,457 = 41,457/x
  3. Step 3: Cross multiply
    19,513x = 41,457 × 41,457
  4. Step 4: Simplify right side
    19,513x = 1,718,682,849
  5. Step 5: Solve for x
    x = 1,718,682,849/19,513
  6. Step 6: Final answer
    x = 88,078.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.