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Finding the Third Proportional to 25,922.75 and 56,535.75

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Solution

The third proportional to 25,922.75 and 56,535.75 is: 123,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.75 : 56,535.75 = 56,535.75 : x
  2. Step 2: Convert to fraction form
    25,922.75/56,535.75 = 56,535.75/x
  3. Step 3: Cross multiply
    25,922.75x = 56,535.75 × 56,535.75
  4. Step 4: Simplify right side
    25,922.75x = 3,196,291,028.06
  5. Step 5: Solve for x
    x = 3,196,291,028.06/25,922.75
  6. Step 6: Final answer
    x = 123,300.62

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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.