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Finding the Third Proportional to 13,648.08 and 28,936.41

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Solution

The third proportional to 13,648.08 and 28,936.41 is: 61,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.08 : 28,936.41 = 28,936.41 : x
  2. Step 2: Convert to fraction form
    13,648.08/28,936.41 = 28,936.41/x
  3. Step 3: Cross multiply
    13,648.08x = 28,936.41 × 28,936.41
  4. Step 4: Simplify right side
    13,648.08x = 837,315,606.67
  5. Step 5: Solve for x
    x = 837,315,606.67/13,648.08
  6. Step 6: Final answer
    x = 61,350.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.