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Finding the Third Proportional to 957.56 and 2,094.56

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Solution

The third proportional to 957.56 and 2,094.56 is: 4,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.56 : 2,094.56 = 2,094.56 : x
  2. Step 2: Convert to fraction form
    957.56/2,094.56 = 2,094.56/x
  3. Step 3: Cross multiply
    957.56x = 2,094.56 × 2,094.56
  4. Step 4: Simplify right side
    957.56x = 4,387,192.07
  5. Step 5: Solve for x
    x = 4,387,192.07/957.56
  6. Step 6: Final answer
    x = 4,581.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.