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Finding the Third Proportional to 957.76 and 1,968.68

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Solution

The third proportional to 957.76 and 1,968.68 is: 4,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 1,968.68 = 1,968.68 : x
  2. Step 2: Convert to fraction form
    957.76/1,968.68 = 1,968.68/x
  3. Step 3: Cross multiply
    957.76x = 1,968.68 × 1,968.68
  4. Step 4: Simplify right side
    957.76x = 3,875,699.71
  5. Step 5: Solve for x
    x = 3,875,699.71/957.76
  6. Step 6: Final answer
    x = 4,046.62

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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.