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Finding the Third Proportional to 1,011.94 and 2,145.94

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Solution

The third proportional to 1,011.94 and 2,145.94 is: 4,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.94 : 2,145.94 = 2,145.94 : x
  2. Step 2: Convert to fraction form
    1,011.94/2,145.94 = 2,145.94/x
  3. Step 3: Cross multiply
    1,011.94x = 2,145.94 × 2,145.94
  4. Step 4: Simplify right side
    1,011.94x = 4,605,047.75
  5. Step 5: Solve for x
    x = 4,605,047.75/1,011.94
  6. Step 6: Final answer
    x = 4,550.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.