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Finding the Third Proportional to 957.76 and 2,034.65

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Solution

The third proportional to 957.76 and 2,034.65 is: 4,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 2,034.65 = 2,034.65 : x
  2. Step 2: Convert to fraction form
    957.76/2,034.65 = 2,034.65/x
  3. Step 3: Cross multiply
    957.76x = 2,034.65 × 2,034.65
  4. Step 4: Simplify right side
    957.76x = 4,139,802.21
  5. Step 5: Solve for x
    x = 4,139,802.21/957.76
  6. Step 6: Final answer
    x = 4,322.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.