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Finding the Third Proportional to 21,843 and 29,457

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Solution

The third proportional to 21,843 and 29,457 is: 39,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 29,457 = 29,457 : x
  2. Step 2: Convert to fraction form
    21,843/29,457 = 29,457/x
  3. Step 3: Cross multiply
    21,843x = 29,457 × 29,457
  4. Step 4: Simplify right side
    21,843x = 867,714,849
  5. Step 5: Solve for x
    x = 867,714,849/21,843
  6. Step 6: Final answer
    x = 39,725.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.