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Finding the Third Proportional to 29,817 and 41,792.63

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Solution

The third proportional to 29,817 and 41,792.63 is: 58,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 41,792.63 = 41,792.63 : x
  2. Step 2: Convert to fraction form
    29,817/41,792.63 = 41,792.63/x
  3. Step 3: Cross multiply
    29,817x = 41,792.63 × 41,792.63
  4. Step 4: Simplify right side
    29,817x = 1,746,623,504.39
  5. Step 5: Solve for x
    x = 1,746,623,504.39/29,817
  6. Step 6: Final answer
    x = 58,578.11

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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.