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Finding the Third Proportional to 996.47 and 1,536.47

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Solution

The third proportional to 996.47 and 1,536.47 is: 2,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.47 : 1,536.47 = 1,536.47 : x
  2. Step 2: Convert to fraction form
    996.47/1,536.47 = 1,536.47/x
  3. Step 3: Cross multiply
    996.47x = 1,536.47 × 1,536.47
  4. Step 4: Simplify right side
    996.47x = 2,360,736.22
  5. Step 5: Solve for x
    x = 2,360,736.22/996.47
  6. Step 6: Final answer
    x = 2,369.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.