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Finding the Third Proportional to 25,423.50 and 55,371.75

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Solution

The third proportional to 25,423.50 and 55,371.75 is: 120,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.50 : 55,371.75 = 55,371.75 : x
  2. Step 2: Convert to fraction form
    25,423.50/55,371.75 = 55,371.75/x
  3. Step 3: Cross multiply
    25,423.50x = 55,371.75 × 55,371.75
  4. Step 4: Simplify right side
    25,423.50x = 3,066,030,698.06
  5. Step 5: Solve for x
    x = 3,066,030,698.06/25,423.50
  6. Step 6: Final answer
    x = 120,598.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.