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Finding the Third Proportional to 957.08 and 2,107.98

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Solution

The third proportional to 957.08 and 2,107.98 is: 4,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.08 : 2,107.98 = 2,107.98 : x
  2. Step 2: Convert to fraction form
    957.08/2,107.98 = 2,107.98/x
  3. Step 3: Cross multiply
    957.08x = 2,107.98 × 2,107.98
  4. Step 4: Simplify right side
    957.08x = 4,443,569.31
  5. Step 5: Solve for x
    x = 4,443,569.31/957.08
  6. Step 6: Final answer
    x = 4,642.84

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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.