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Finding the Third Proportional to 18,462 and 39,341

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Solution

The third proportional to 18,462 and 39,341 is: 83,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462 : 39,341 = 39,341 : x
  2. Step 2: Convert to fraction form
    18,462/39,341 = 39,341/x
  3. Step 3: Cross multiply
    18,462x = 39,341 × 39,341
  4. Step 4: Simplify right side
    18,462x = 1,547,714,281
  5. Step 5: Solve for x
    x = 1,547,714,281/18,462
  6. Step 6: Final answer
    x = 83,832.43

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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.