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Finding the Third Proportional to 1,176.40 and 2,555.93

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Solution

The third proportional to 1,176.40 and 2,555.93 is: 5,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.40 : 2,555.93 = 2,555.93 : x
  2. Step 2: Convert to fraction form
    1,176.40/2,555.93 = 2,555.93/x
  3. Step 3: Cross multiply
    1,176.40x = 2,555.93 × 2,555.93
  4. Step 4: Simplify right side
    1,176.40x = 6,532,776.57
  5. Step 5: Solve for x
    x = 6,532,776.57/1,176.40
  6. Step 6: Final answer
    x = 5,553.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.