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Finding the Third Proportional to 25,218 and 55,050.75

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Solution

The third proportional to 25,218 and 55,050.75 is: 120,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 55,050.75 = 55,050.75 : x
  2. Step 2: Convert to fraction form
    25,218/55,050.75 = 55,050.75/x
  3. Step 3: Cross multiply
    25,218x = 55,050.75 × 55,050.75
  4. Step 4: Simplify right side
    25,218x = 3,030,585,075.56
  5. Step 5: Solve for x
    x = 3,030,585,075.56/25,218
  6. Step 6: Final answer
    x = 120,175.47

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Why These Related Problems?

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