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Finding the Third Proportional to 4,665.38 and 7,133.63

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Solution

The third proportional to 4,665.38 and 7,133.63 is: 10,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.38 : 7,133.63 = 7,133.63 : x
  2. Step 2: Convert to fraction form
    4,665.38/7,133.63 = 7,133.63/x
  3. Step 3: Cross multiply
    4,665.38x = 7,133.63 × 7,133.63
  4. Step 4: Simplify right side
    4,665.38x = 50,888,605.64
  5. Step 5: Solve for x
    x = 50,888,605.64/4,665.38
  6. Step 6: Final answer
    x = 10,907.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.