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Finding the Third Proportional to 29,269.69 and 41,825.53

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Solution

The third proportional to 29,269.69 and 41,825.53 is: 59,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.69 : 41,825.53 = 41,825.53 : x
  2. Step 2: Convert to fraction form
    29,269.69/41,825.53 = 41,825.53/x
  3. Step 3: Cross multiply
    29,269.69x = 41,825.53 × 41,825.53
  4. Step 4: Simplify right side
    29,269.69x = 1,749,375,064.34
  5. Step 5: Solve for x
    x = 1,749,375,064.34/29,269.69
  6. Step 6: Final answer
    x = 59,767.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.