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Finding the Third Proportional to 3,114.56 and 6,721.03

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Solution

The third proportional to 3,114.56 and 6,721.03 is: 14,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.56 : 6,721.03 = 6,721.03 : x
  2. Step 2: Convert to fraction form
    3,114.56/6,721.03 = 6,721.03/x
  3. Step 3: Cross multiply
    3,114.56x = 6,721.03 × 6,721.03
  4. Step 4: Simplify right side
    3,114.56x = 45,172,261.06
  5. Step 5: Solve for x
    x = 45,172,261.06/3,114.56
  6. Step 6: Final answer
    x = 14,503.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.