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Finding the Third Proportional to 12,097.69 and 26,049.52

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Solution

The third proportional to 12,097.69 and 26,049.52 is: 56,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.69 : 26,049.52 = 26,049.52 : x
  2. Step 2: Convert to fraction form
    12,097.69/26,049.52 = 26,049.52/x
  3. Step 3: Cross multiply
    12,097.69x = 26,049.52 × 26,049.52
  4. Step 4: Simplify right side
    12,097.69x = 678,577,264.30
  5. Step 5: Solve for x
    x = 678,577,264.30/12,097.69
  6. Step 6: Final answer
    x = 56,091.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.