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Finding the Third Proportional to 25,915.75 and 56,522.75

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Solution

The third proportional to 25,915.75 and 56,522.75 is: 123,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.75 : 56,522.75 = 56,522.75 : x
  2. Step 2: Convert to fraction form
    25,915.75/56,522.75 = 56,522.75/x
  3. Step 3: Cross multiply
    25,915.75x = 56,522.75 × 56,522.75
  4. Step 4: Simplify right side
    25,915.75x = 3,194,821,267.56
  5. Step 5: Solve for x
    x = 3,194,821,267.56/25,915.75
  6. Step 6: Final answer
    x = 123,277.21

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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.