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Finding the Third Proportional to 25,994.25 and 56,358.75

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Solution

The third proportional to 25,994.25 and 56,358.75 is: 122,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.25 : 56,358.75 = 56,358.75 : x
  2. Step 2: Convert to fraction form
    25,994.25/56,358.75 = 56,358.75/x
  3. Step 3: Cross multiply
    25,994.25x = 56,358.75 × 56,358.75
  4. Step 4: Simplify right side
    25,994.25x = 3,176,308,701.56
  5. Step 5: Solve for x
    x = 3,176,308,701.56/25,994.25
  6. Step 6: Final answer
    x = 122,192.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.