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Finding the Third Proportional to 873.07 and 1,792.34

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Solution

The third proportional to 873.07 and 1,792.34 is: 3,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.07 : 1,792.34 = 1,792.34 : x
  2. Step 2: Convert to fraction form
    873.07/1,792.34 = 1,792.34/x
  3. Step 3: Cross multiply
    873.07x = 1,792.34 × 1,792.34
  4. Step 4: Simplify right side
    873.07x = 3,212,468.11
  5. Step 5: Solve for x
    x = 3,212,468.11/873.07
  6. Step 6: Final answer
    x = 3,679.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.