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Finding the Third Proportional to 4,176.56 and 5,505.19

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Solution

The third proportional to 4,176.56 and 5,505.19 is: 7,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 5,505.19 = 5,505.19 : x
  2. Step 2: Convert to fraction form
    4,176.56/5,505.19 = 5,505.19/x
  3. Step 3: Cross multiply
    4,176.56x = 5,505.19 × 5,505.19
  4. Step 4: Simplify right side
    4,176.56x = 30,307,089.41
  5. Step 5: Solve for x
    x = 30,307,089.41/4,176.56
  6. Step 6: Final answer
    x = 7,256.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.