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Finding the Third Proportional to 957.76 and 1,175.61

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Solution

The third proportional to 957.76 and 1,175.61 is: 1,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 1,175.61 = 1,175.61 : x
  2. Step 2: Convert to fraction form
    957.76/1,175.61 = 1,175.61/x
  3. Step 3: Cross multiply
    957.76x = 1,175.61 × 1,175.61
  4. Step 4: Simplify right side
    957.76x = 1,382,052.81
  5. Step 5: Solve for x
    x = 1,382,052.81/957.76
  6. Step 6: Final answer
    x = 1,443.00

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.