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Finding the Third Proportional to 957.38 and 1,976.25

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Solution

The third proportional to 957.38 and 1,976.25 is: 4,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.38 : 1,976.25 = 1,976.25 : x
  2. Step 2: Convert to fraction form
    957.38/1,976.25 = 1,976.25/x
  3. Step 3: Cross multiply
    957.38x = 1,976.25 × 1,976.25
  4. Step 4: Simplify right side
    957.38x = 3,905,564.06
  5. Step 5: Solve for x
    x = 3,905,564.06/957.38
  6. Step 6: Final answer
    x = 4,079.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.