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Finding the Third Proportional to 25,919.75 and 56,530.75

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Solution

The third proportional to 25,919.75 and 56,530.75 is: 123,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,919.75 : 56,530.75 = 56,530.75 : x
  2. Step 2: Convert to fraction form
    25,919.75/56,530.75 = 56,530.75/x
  3. Step 3: Cross multiply
    25,919.75x = 56,530.75 × 56,530.75
  4. Step 4: Simplify right side
    25,919.75x = 3,195,725,695.56
  5. Step 5: Solve for x
    x = 3,195,725,695.56/25,919.75
  6. Step 6: Final answer
    x = 123,293.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.