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Finding the Third Proportional to 1,953.75 and 4,298.25

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Solution

The third proportional to 1,953.75 and 4,298.25 is: 9,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.75 : 4,298.25 = 4,298.25 : x
  2. Step 2: Convert to fraction form
    1,953.75/4,298.25 = 4,298.25/x
  3. Step 3: Cross multiply
    1,953.75x = 4,298.25 × 4,298.25
  4. Step 4: Simplify right side
    1,953.75x = 18,474,953.06
  5. Step 5: Solve for x
    x = 18,474,953.06/1,953.75
  6. Step 6: Final answer
    x = 9,456.15

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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.