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Finding the Third Proportional to 5,772.52 and 12,468.09

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Solution

The third proportional to 5,772.52 and 12,468.09 is: 26,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.52 : 12,468.09 = 12,468.09 : x
  2. Step 2: Convert to fraction form
    5,772.52/12,468.09 = 12,468.09/x
  3. Step 3: Cross multiply
    5,772.52x = 12,468.09 × 12,468.09
  4. Step 4: Simplify right side
    5,772.52x = 155,453,361.76
  5. Step 5: Solve for x
    x = 155,453,361.76/5,772.52
  6. Step 6: Final answer
    x = 26,929.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.