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Finding the Third Proportional to 3,711.56 and 5,445.84

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Solution

The third proportional to 3,711.56 and 5,445.84 is: 7,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.56 : 5,445.84 = 5,445.84 : x
  2. Step 2: Convert to fraction form
    3,711.56/5,445.84 = 5,445.84/x
  3. Step 3: Cross multiply
    3,711.56x = 5,445.84 × 5,445.84
  4. Step 4: Simplify right side
    3,711.56x = 29,657,214.15
  5. Step 5: Solve for x
    x = 29,657,214.15/3,711.56
  6. Step 6: Final answer
    x = 7,990.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.