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Finding the Third Proportional to 13,671 and 29,043

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Solution

The third proportional to 13,671 and 29,043 is: 61,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 29,043 = 29,043 : x
  2. Step 2: Convert to fraction form
    13,671/29,043 = 29,043/x
  3. Step 3: Cross multiply
    13,671x = 29,043 × 29,043
  4. Step 4: Simplify right side
    13,671x = 843,495,849
  5. Step 5: Solve for x
    x = 843,495,849/13,671
  6. Step 6: Final answer
    x = 61,699.65

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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.