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Finding the Third Proportional to 1,837.50 and 4,242.75

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Solution

The third proportional to 1,837.50 and 4,242.75 is: 9,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.50 : 4,242.75 = 4,242.75 : x
  2. Step 2: Convert to fraction form
    1,837.50/4,242.75 = 4,242.75/x
  3. Step 3: Cross multiply
    1,837.50x = 4,242.75 × 4,242.75
  4. Step 4: Simplify right side
    1,837.50x = 18,000,927.56
  5. Step 5: Solve for x
    x = 18,000,927.56/1,837.50
  6. Step 6: Final answer
    x = 9,796.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.