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Finding the Third Proportional to 5,341.97 and 7,839.56

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Solution

The third proportional to 5,341.97 and 7,839.56 is: 11,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.97 : 7,839.56 = 7,839.56 : x
  2. Step 2: Convert to fraction form
    5,341.97/7,839.56 = 7,839.56/x
  3. Step 3: Cross multiply
    5,341.97x = 7,839.56 × 7,839.56
  4. Step 4: Simplify right side
    5,341.97x = 61,458,740.19
  5. Step 5: Solve for x
    x = 61,458,740.19/5,341.97
  6. Step 6: Final answer
    x = 11,504.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.