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Finding the Third Proportional to 25,566 and 54,774.75

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Solution

The third proportional to 25,566 and 54,774.75 is: 117,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566 : 54,774.75 = 54,774.75 : x
  2. Step 2: Convert to fraction form
    25,566/54,774.75 = 54,774.75/x
  3. Step 3: Cross multiply
    25,566x = 54,774.75 × 54,774.75
  4. Step 4: Simplify right side
    25,566x = 3,000,273,237.56
  5. Step 5: Solve for x
    x = 3,000,273,237.56/25,566
  6. Step 6: Final answer
    x = 117,354.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.