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Finding the Third Proportional to 2,387.53 and 5,261.06

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Solution

The third proportional to 2,387.53 and 5,261.06 is: 11,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.53 : 5,261.06 = 5,261.06 : x
  2. Step 2: Convert to fraction form
    2,387.53/5,261.06 = 5,261.06/x
  3. Step 3: Cross multiply
    2,387.53x = 5,261.06 × 5,261.06
  4. Step 4: Simplify right side
    2,387.53x = 27,678,778.63
  5. Step 5: Solve for x
    x = 27,678,778.63/2,387.53
  6. Step 6: Final answer
    x = 11,593.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.