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Finding the Third Proportional to 957.76 and 2,052.21

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Solution

The third proportional to 957.76 and 2,052.21 is: 4,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 2,052.21 = 2,052.21 : x
  2. Step 2: Convert to fraction form
    957.76/2,052.21 = 2,052.21/x
  3. Step 3: Cross multiply
    957.76x = 2,052.21 × 2,052.21
  4. Step 4: Simplify right side
    957.76x = 4,211,569.73
  5. Step 5: Solve for x
    x = 4,211,569.73/957.76
  6. Step 6: Final answer
    x = 4,397.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.