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Finding the Third Proportional to 1,154.75 and 2,391.63

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Solution

The third proportional to 1,154.75 and 2,391.63 is: 4,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.75 : 2,391.63 = 2,391.63 : x
  2. Step 2: Convert to fraction form
    1,154.75/2,391.63 = 2,391.63/x
  3. Step 3: Cross multiply
    1,154.75x = 2,391.63 × 2,391.63
  4. Step 4: Simplify right side
    1,154.75x = 5,719,870.14
  5. Step 5: Solve for x
    x = 5,719,870.14/1,154.75
  6. Step 6: Final answer
    x = 4,953.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.