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Finding the Third Proportional to 3,114.70 and 6,581.25

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Solution

The third proportional to 3,114.70 and 6,581.25 is: 13,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.70 : 6,581.25 = 6,581.25 : x
  2. Step 2: Convert to fraction form
    3,114.70/6,581.25 = 6,581.25/x
  3. Step 3: Cross multiply
    3,114.70x = 6,581.25 × 6,581.25
  4. Step 4: Simplify right side
    3,114.70x = 43,312,851.56
  5. Step 5: Solve for x
    x = 43,312,851.56/3,114.70
  6. Step 6: Final answer
    x = 13,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.