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Finding the Third Proportional to 1,188.74 and 2,536.63

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Solution

The third proportional to 1,188.74 and 2,536.63 is: 5,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.74 : 2,536.63 = 2,536.63 : x
  2. Step 2: Convert to fraction form
    1,188.74/2,536.63 = 2,536.63/x
  3. Step 3: Cross multiply
    1,188.74x = 2,536.63 × 2,536.63
  4. Step 4: Simplify right side
    1,188.74x = 6,434,486.21
  5. Step 5: Solve for x
    x = 6,434,486.21/1,188.74
  6. Step 6: Final answer
    x = 5,412.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.