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Finding the Third Proportional to 2,706.75 and 4,176.84

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Solution

The third proportional to 2,706.75 and 4,176.84 is: 6,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 4,176.84 = 4,176.84 : x
  2. Step 2: Convert to fraction form
    2,706.75/4,176.84 = 4,176.84/x
  3. Step 3: Cross multiply
    2,706.75x = 4,176.84 × 4,176.84
  4. Step 4: Simplify right side
    2,706.75x = 17,446,023.71
  5. Step 5: Solve for x
    x = 17,446,023.71/2,706.75
  6. Step 6: Final answer
    x = 6,445.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.