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Finding the Third Proportional to 1,176.40 and 2,764.76

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Solution

The third proportional to 1,176.40 and 2,764.76 is: 6,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.40 : 2,764.76 = 2,764.76 : x
  2. Step 2: Convert to fraction form
    1,176.40/2,764.76 = 2,764.76/x
  3. Step 3: Cross multiply
    1,176.40x = 2,764.76 × 2,764.76
  4. Step 4: Simplify right side
    1,176.40x = 7,643,885.76
  5. Step 5: Solve for x
    x = 7,643,885.76/1,176.40
  6. Step 6: Final answer
    x = 6,497.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.