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Finding the Third Proportional to 4,668.75 and 7,176.38

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Solution

The third proportional to 4,668.75 and 7,176.38 is: 11,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.75 : 7,176.38 = 7,176.38 : x
  2. Step 2: Convert to fraction form
    4,668.75/7,176.38 = 7,176.38/x
  3. Step 3: Cross multiply
    4,668.75x = 7,176.38 × 7,176.38
  4. Step 4: Simplify right side
    4,668.75x = 51,500,358.14
  5. Step 5: Solve for x
    x = 51,500,358.14/4,668.75
  6. Step 6: Final answer
    x = 11,030.87

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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.