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Finding the Third Proportional to 3,192.47 and 4,954.78

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Solution

The third proportional to 3,192.47 and 4,954.78 is: 7,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.47 : 4,954.78 = 4,954.78 : x
  2. Step 2: Convert to fraction form
    3,192.47/4,954.78 = 4,954.78/x
  3. Step 3: Cross multiply
    3,192.47x = 4,954.78 × 4,954.78
  4. Step 4: Simplify right side
    3,192.47x = 24,549,857.24
  5. Step 5: Solve for x
    x = 24,549,857.24/3,192.47
  6. Step 6: Final answer
    x = 7,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.