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Finding the Third Proportional to 5,330.25 and 7,302.38

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Solution

The third proportional to 5,330.25 and 7,302.38 is: 10,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.25 : 7,302.38 = 7,302.38 : x
  2. Step 2: Convert to fraction form
    5,330.25/7,302.38 = 7,302.38/x
  3. Step 3: Cross multiply
    5,330.25x = 7,302.38 × 7,302.38
  4. Step 4: Simplify right side
    5,330.25x = 53,324,680.64
  5. Step 5: Solve for x
    x = 53,324,680.64/5,330.25
  6. Step 6: Final answer
    x = 10,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.