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Finding the Third Proportional to 2,548.13 and 5,536.69

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Solution

The third proportional to 2,548.13 and 5,536.69 is: 12,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.13 : 5,536.69 = 5,536.69 : x
  2. Step 2: Convert to fraction form
    2,548.13/5,536.69 = 5,536.69/x
  3. Step 3: Cross multiply
    2,548.13x = 5,536.69 × 5,536.69
  4. Step 4: Simplify right side
    2,548.13x = 30,654,908.47
  5. Step 5: Solve for x
    x = 30,654,908.47/2,548.13
  6. Step 6: Final answer
    x = 12,030.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.