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Finding the Third Proportional to 25,898.63 and 57,242.25

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Solution

The third proportional to 25,898.63 and 57,242.25 is: 126,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.63 : 57,242.25 = 57,242.25 : x
  2. Step 2: Convert to fraction form
    25,898.63/57,242.25 = 57,242.25/x
  3. Step 3: Cross multiply
    25,898.63x = 57,242.25 × 57,242.25
  4. Step 4: Simplify right side
    25,898.63x = 3,276,675,185.06
  5. Step 5: Solve for x
    x = 3,276,675,185.06/25,898.63
  6. Step 6: Final answer
    x = 126,519.27

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.