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Finding the Third Proportional to 12,271.50 and 30,648.38

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Solution

The third proportional to 12,271.50 and 30,648.38 is: 76,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 30,648.38 = 30,648.38 : x
  2. Step 2: Convert to fraction form
    12,271.50/30,648.38 = 30,648.38/x
  3. Step 3: Cross multiply
    12,271.50x = 30,648.38 × 30,648.38
  4. Step 4: Simplify right side
    12,271.50x = 939,322,890.14
  5. Step 5: Solve for x
    x = 939,322,890.14/12,271.50
  6. Step 6: Final answer
    x = 76,545.08

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.