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Finding the Third Proportional to 3,192.06 and 4,954.76

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Solution

The third proportional to 3,192.06 and 4,954.76 is: 7,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.06 : 4,954.76 = 4,954.76 : x
  2. Step 2: Convert to fraction form
    3,192.06/4,954.76 = 4,954.76/x
  3. Step 3: Cross multiply
    3,192.06x = 4,954.76 × 4,954.76
  4. Step 4: Simplify right side
    3,192.06x = 24,549,683.04
  5. Step 5: Solve for x
    x = 24,549,683.04/3,192.06
  6. Step 6: Final answer
    x = 7,690.85

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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.