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Finding the Third Proportional to 5,096.67 and 6,130.69

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Solution

The third proportional to 5,096.67 and 6,130.69 is: 7,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.67 : 6,130.69 = 6,130.69 : x
  2. Step 2: Convert to fraction form
    5,096.67/6,130.69 = 6,130.69/x
  3. Step 3: Cross multiply
    5,096.67x = 6,130.69 × 6,130.69
  4. Step 4: Simplify right side
    5,096.67x = 37,585,329.22
  5. Step 5: Solve for x
    x = 37,585,329.22/5,096.67
  6. Step 6: Final answer
    x = 7,374.48

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.