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Finding the Third Proportional to 25,987.81 and 54,692.38

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Solution

The third proportional to 25,987.81 and 54,692.38 is: 115,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.81 : 54,692.38 = 54,692.38 : x
  2. Step 2: Convert to fraction form
    25,987.81/54,692.38 = 54,692.38/x
  3. Step 3: Cross multiply
    25,987.81x = 54,692.38 × 54,692.38
  4. Step 4: Simplify right side
    25,987.81x = 2,991,255,883.14
  5. Step 5: Solve for x
    x = 2,991,255,883.14/25,987.81
  6. Step 6: Final answer
    x = 115,102.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.