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Finding the Third Proportional to 25,995.78 and 53,223.06

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Solution

The third proportional to 25,995.78 and 53,223.06 is: 108,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995.78 : 53,223.06 = 53,223.06 : x
  2. Step 2: Convert to fraction form
    25,995.78/53,223.06 = 53,223.06/x
  3. Step 3: Cross multiply
    25,995.78x = 53,223.06 × 53,223.06
  4. Step 4: Simplify right side
    25,995.78x = 2,832,694,381.88
  5. Step 5: Solve for x
    x = 2,832,694,381.88/25,995.78
  6. Step 6: Final answer
    x = 108,967.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.