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Finding the Third Proportional to 29,815 and 41,788

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Solution

The third proportional to 29,815 and 41,788 is: 58,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815 : 41,788 = 41,788 : x
  2. Step 2: Convert to fraction form
    29,815/41,788 = 41,788/x
  3. Step 3: Cross multiply
    29,815x = 41,788 × 41,788
  4. Step 4: Simplify right side
    29,815x = 1,746,236,944
  5. Step 5: Solve for x
    x = 1,746,236,944/29,815
  6. Step 6: Final answer
    x = 58,569.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.