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Finding the Third Proportional to 25,999.88 and 53,782.88

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Solution

The third proportional to 25,999.88 and 53,782.88 is: 111,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.88 : 53,782.88 = 53,782.88 : x
  2. Step 2: Convert to fraction form
    25,999.88/53,782.88 = 53,782.88/x
  3. Step 3: Cross multiply
    25,999.88x = 53,782.88 × 53,782.88
  4. Step 4: Simplify right side
    25,999.88x = 2,892,597,643.27
  5. Step 5: Solve for x
    x = 2,892,597,643.27/25,999.88
  6. Step 6: Final answer
    x = 111,254.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.