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Finding the Third Proportional to 10,671.75 and 17,070.75

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Solution

The third proportional to 10,671.75 and 17,070.75 is: 27,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 17,070.75 = 17,070.75 : x
  2. Step 2: Convert to fraction form
    10,671.75/17,070.75 = 17,070.75/x
  3. Step 3: Cross multiply
    10,671.75x = 17,070.75 × 17,070.75
  4. Step 4: Simplify right side
    10,671.75x = 291,410,505.56
  5. Step 5: Solve for x
    x = 291,410,505.56/10,671.75
  6. Step 6: Final answer
    x = 27,306.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.