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Finding the Third Proportional to 25,444.50 and 51,573.75

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Solution

The third proportional to 25,444.50 and 51,573.75 is: 104,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.50 : 51,573.75 = 51,573.75 : x
  2. Step 2: Convert to fraction form
    25,444.50/51,573.75 = 51,573.75/x
  3. Step 3: Cross multiply
    25,444.50x = 51,573.75 × 51,573.75
  4. Step 4: Simplify right side
    25,444.50x = 2,659,851,689.06
  5. Step 5: Solve for x
    x = 2,659,851,689.06/25,444.50
  6. Step 6: Final answer
    x = 104,535.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.