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Finding the Third Proportional to 10,050.75 and 17,147.25

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Solution

The third proportional to 10,050.75 and 17,147.25 is: 29,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.75 : 17,147.25 = 17,147.25 : x
  2. Step 2: Convert to fraction form
    10,050.75/17,147.25 = 17,147.25/x
  3. Step 3: Cross multiply
    10,050.75x = 17,147.25 × 17,147.25
  4. Step 4: Simplify right side
    10,050.75x = 294,028,182.56
  5. Step 5: Solve for x
    x = 294,028,182.56/10,050.75
  6. Step 6: Final answer
    x = 29,254.35

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.