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Finding the Third Proportional to 5,905.13 and 9,141.75

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Solution

The third proportional to 5,905.13 and 9,141.75 is: 14,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.13 : 9,141.75 = 9,141.75 : x
  2. Step 2: Convert to fraction form
    5,905.13/9,141.75 = 9,141.75/x
  3. Step 3: Cross multiply
    5,905.13x = 9,141.75 × 9,141.75
  4. Step 4: Simplify right side
    5,905.13x = 83,571,593.06
  5. Step 5: Solve for x
    x = 83,571,593.06/5,905.13
  6. Step 6: Final answer
    x = 14,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.