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Finding the Third Proportional to 2,738.81 and 4,946.06

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Solution

The third proportional to 2,738.81 and 4,946.06 is: 8,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.81 : 4,946.06 = 4,946.06 : x
  2. Step 2: Convert to fraction form
    2,738.81/4,946.06 = 4,946.06/x
  3. Step 3: Cross multiply
    2,738.81x = 4,946.06 × 4,946.06
  4. Step 4: Simplify right side
    2,738.81x = 24,463,534.25
  5. Step 5: Solve for x
    x = 24,463,534.25/2,738.81
  6. Step 6: Final answer
    x = 8,932.17

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.