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Finding the Third Proportional to 11,480.63 and 16,827.38

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Solution

The third proportional to 11,480.63 and 16,827.38 is: 24,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.63 : 16,827.38 = 16,827.38 : x
  2. Step 2: Convert to fraction form
    11,480.63/16,827.38 = 16,827.38/x
  3. Step 3: Cross multiply
    11,480.63x = 16,827.38 × 16,827.38
  4. Step 4: Simplify right side
    11,480.63x = 283,160,549.39
  5. Step 5: Solve for x
    x = 283,160,549.39/11,480.63
  6. Step 6: Final answer
    x = 24,664.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.