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Finding the Third Proportional to 25,975.13 and 56,103.75

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Solution

The third proportional to 25,975.13 and 56,103.75 is: 121,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.13 : 56,103.75 = 56,103.75 : x
  2. Step 2: Convert to fraction form
    25,975.13/56,103.75 = 56,103.75/x
  3. Step 3: Cross multiply
    25,975.13x = 56,103.75 × 56,103.75
  4. Step 4: Simplify right side
    25,975.13x = 3,147,630,764.06
  5. Step 5: Solve for x
    x = 3,147,630,764.06/25,975.13
  6. Step 6: Final answer
    x = 121,178.66

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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.