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Finding the Third Proportional to 25,611 and 53,266.50

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Solution

The third proportional to 25,611 and 53,266.50 is: 110,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,611 : 53,266.50 = 53,266.50 : x
  2. Step 2: Convert to fraction form
    25,611/53,266.50 = 53,266.50/x
  3. Step 3: Cross multiply
    25,611x = 53,266.50 × 53,266.50
  4. Step 4: Simplify right side
    25,611x = 2,837,320,022.25
  5. Step 5: Solve for x
    x = 2,837,320,022.25/25,611
  6. Step 6: Final answer
    x = 110,785.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.