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Finding the Third Proportional to 29,556.13 and 41,569.88

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Solution

The third proportional to 29,556.13 and 41,569.88 is: 58,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556.13 : 41,569.88 = 41,569.88 : x
  2. Step 2: Convert to fraction form
    29,556.13/41,569.88 = 41,569.88/x
  3. Step 3: Cross multiply
    29,556.13x = 41,569.88 × 41,569.88
  4. Step 4: Simplify right side
    29,556.13x = 1,728,054,507.52
  5. Step 5: Solve for x
    x = 1,728,054,507.52/29,556.13
  6. Step 6: Final answer
    x = 58,466.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.