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Finding the Third Proportional to 1,959 and 4,202.25

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Solution

The third proportional to 1,959 and 4,202.25 is: 9,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959 : 4,202.25 = 4,202.25 : x
  2. Step 2: Convert to fraction form
    1,959/4,202.25 = 4,202.25/x
  3. Step 3: Cross multiply
    1,959x = 4,202.25 × 4,202.25
  4. Step 4: Simplify right side
    1,959x = 17,658,905.06
  5. Step 5: Solve for x
    x = 17,658,905.06/1,959
  6. Step 6: Final answer
    x = 9,014.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.