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Finding the Third Proportional to 946.13 and 1,563.56

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Solution

The third proportional to 946.13 and 1,563.56 is: 2,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.13 : 1,563.56 = 1,563.56 : x
  2. Step 2: Convert to fraction form
    946.13/1,563.56 = 1,563.56/x
  3. Step 3: Cross multiply
    946.13x = 1,563.56 × 1,563.56
  4. Step 4: Simplify right side
    946.13x = 2,444,727.69
  5. Step 5: Solve for x
    x = 2,444,727.69/946.13
  6. Step 6: Final answer
    x = 2,583.94

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.