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Finding the Third Proportional to 26,335.13 and 29,205.56

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Solution

The third proportional to 26,335.13 and 29,205.56 is: 32,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,335.13 : 29,205.56 = 29,205.56 : x
  2. Step 2: Convert to fraction form
    26,335.13/29,205.56 = 29,205.56/x
  3. Step 3: Cross multiply
    26,335.13x = 29,205.56 × 29,205.56
  4. Step 4: Simplify right side
    26,335.13x = 852,964,880.94
  5. Step 5: Solve for x
    x = 852,964,880.94/26,335.13
  6. Step 6: Final answer
    x = 32,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.