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Finding the Third Proportional to 1,792.34 and 3,930.93

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Solution

The third proportional to 1,792.34 and 3,930.93 is: 8,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.34 : 3,930.93 = 3,930.93 : x
  2. Step 2: Convert to fraction form
    1,792.34/3,930.93 = 3,930.93/x
  3. Step 3: Cross multiply
    1,792.34x = 3,930.93 × 3,930.93
  4. Step 4: Simplify right side
    1,792.34x = 15,452,177.50
  5. Step 5: Solve for x
    x = 15,452,177.50/1,792.34
  6. Step 6: Final answer
    x = 8,621.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.