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Finding the Third Proportional to 10,956 and 17,800.13

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Solution

The third proportional to 10,956 and 17,800.13 is: 28,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 17,800.13 = 17,800.13 : x
  2. Step 2: Convert to fraction form
    10,956/17,800.13 = 17,800.13/x
  3. Step 3: Cross multiply
    10,956x = 17,800.13 × 17,800.13
  4. Step 4: Simplify right side
    10,956x = 316,844,450.02
  5. Step 5: Solve for x
    x = 316,844,450.02/10,956
  6. Step 6: Final answer
    x = 28,919.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.