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Finding the Third Proportional to 25,986.75 and 56,130.75

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Solution

The third proportional to 25,986.75 and 56,130.75 is: 121,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.75 : 56,130.75 = 56,130.75 : x
  2. Step 2: Convert to fraction form
    25,986.75/56,130.75 = 56,130.75/x
  3. Step 3: Cross multiply
    25,986.75x = 56,130.75 × 56,130.75
  4. Step 4: Simplify right side
    25,986.75x = 3,150,661,095.56
  5. Step 5: Solve for x
    x = 3,150,661,095.56/25,986.75
  6. Step 6: Final answer
    x = 121,241.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.