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Finding the Third Proportional to 25,811.16 and 55,814.06

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Solution

The third proportional to 25,811.16 and 55,814.06 is: 120,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811.16 : 55,814.06 = 55,814.06 : x
  2. Step 2: Convert to fraction form
    25,811.16/55,814.06 = 55,814.06/x
  3. Step 3: Cross multiply
    25,811.16x = 55,814.06 × 55,814.06
  4. Step 4: Simplify right side
    25,811.16x = 3,115,209,572.75
  5. Step 5: Solve for x
    x = 3,115,209,572.75/25,811.16
  6. Step 6: Final answer
    x = 120,692.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.