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Finding the Third Proportional to 538.17 and 1,162.41

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Solution

The third proportional to 538.17 and 1,162.41 is: 2,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 1,162.41 = 1,162.41 : x
  2. Step 2: Convert to fraction form
    538.17/1,162.41 = 1,162.41/x
  3. Step 3: Cross multiply
    538.17x = 1,162.41 × 1,162.41
  4. Step 4: Simplify right side
    538.17x = 1,351,188.29
  5. Step 5: Solve for x
    x = 1,351,188.29/538.17
  6. Step 6: Final answer
    x = 2,510.70

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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.