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Finding the Third Proportional to 11,755.13 and 16,475.06

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Solution

The third proportional to 11,755.13 and 16,475.06 is: 23,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.13 : 16,475.06 = 16,475.06 : x
  2. Step 2: Convert to fraction form
    11,755.13/16,475.06 = 16,475.06/x
  3. Step 3: Cross multiply
    11,755.13x = 16,475.06 × 16,475.06
  4. Step 4: Simplify right side
    11,755.13x = 271,427,684.38
  5. Step 5: Solve for x
    x = 271,427,684.38/11,755.13
  6. Step 6: Final answer
    x = 23,090.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.