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Finding the Third Proportional to 5,412.45 and 11,730.45

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Solution

The third proportional to 5,412.45 and 11,730.45 is: 25,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.45 : 11,730.45 = 11,730.45 : x
  2. Step 2: Convert to fraction form
    5,412.45/11,730.45 = 11,730.45/x
  3. Step 3: Cross multiply
    5,412.45x = 11,730.45 × 11,730.45
  4. Step 4: Simplify right side
    5,412.45x = 137,603,347.23
  5. Step 5: Solve for x
    x = 137,603,347.23/5,412.45
  6. Step 6: Final answer
    x = 25,423.51

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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.