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Finding the Third Proportional to 453.52 and 1,071.14

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Solution

The third proportional to 453.52 and 1,071.14 is: 2,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 1,071.14 = 1,071.14 : x
  2. Step 2: Convert to fraction form
    453.52/1,071.14 = 1,071.14/x
  3. Step 3: Cross multiply
    453.52x = 1,071.14 × 1,071.14
  4. Step 4: Simplify right side
    453.52x = 1,147,342.24
  5. Step 5: Solve for x
    x = 1,147,342.24/453.52
  6. Step 6: Final answer
    x = 2,529.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.