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Finding the Third Proportional to 3,851.58 and 5,503.92

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Solution

The third proportional to 3,851.58 and 5,503.92 is: 7,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.58 : 5,503.92 = 5,503.92 : x
  2. Step 2: Convert to fraction form
    3,851.58/5,503.92 = 5,503.92/x
  3. Step 3: Cross multiply
    3,851.58x = 5,503.92 × 5,503.92
  4. Step 4: Simplify right side
    3,851.58x = 30,293,156.01
  5. Step 5: Solve for x
    x = 30,293,156.01/3,851.58
  6. Step 6: Final answer
    x = 7,865.13

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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.