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Finding the Third Proportional to 957.76 and 2,068.35

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Solution

The third proportional to 957.76 and 2,068.35 is: 4,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 2,068.35 = 2,068.35 : x
  2. Step 2: Convert to fraction form
    957.76/2,068.35 = 2,068.35/x
  3. Step 3: Cross multiply
    957.76x = 2,068.35 × 2,068.35
  4. Step 4: Simplify right side
    957.76x = 4,278,062.03
  5. Step 5: Solve for x
    x = 4,278,062.03/957.76
  6. Step 6: Final answer
    x = 4,466.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.