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Finding the Third Proportional to 10,170 and 21,750.75

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Solution

The third proportional to 10,170 and 21,750.75 is: 46,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 21,750.75 = 21,750.75 : x
  2. Step 2: Convert to fraction form
    10,170/21,750.75 = 21,750.75/x
  3. Step 3: Cross multiply
    10,170x = 21,750.75 × 21,750.75
  4. Step 4: Simplify right side
    10,170x = 473,095,125.56
  5. Step 5: Solve for x
    x = 473,095,125.56/10,170
  6. Step 6: Final answer
    x = 46,518.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.