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Finding the Third Proportional to 5,049 and 11,060.25

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Solution

The third proportional to 5,049 and 11,060.25 is: 24,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049 : 11,060.25 = 11,060.25 : x
  2. Step 2: Convert to fraction form
    5,049/11,060.25 = 11,060.25/x
  3. Step 3: Cross multiply
    5,049x = 11,060.25 × 11,060.25
  4. Step 4: Simplify right side
    5,049x = 122,329,130.06
  5. Step 5: Solve for x
    x = 122,329,130.06/5,049
  6. Step 6: Final answer
    x = 24,228.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.