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Finding the Third Proportional to 2,935.97 and 4,546.97

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Solution

The third proportional to 2,935.97 and 4,546.97 is: 7,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.97 : 4,546.97 = 4,546.97 : x
  2. Step 2: Convert to fraction form
    2,935.97/4,546.97 = 4,546.97/x
  3. Step 3: Cross multiply
    2,935.97x = 4,546.97 × 4,546.97
  4. Step 4: Simplify right side
    2,935.97x = 20,674,924.81
  5. Step 5: Solve for x
    x = 20,674,924.81/2,935.97
  6. Step 6: Final answer
    x = 7,041.94

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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.