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Finding the Third Proportional to 25,075.50 and 55,071

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Solution

The third proportional to 25,075.50 and 55,071 is: 120,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075.50 : 55,071 = 55,071 : x
  2. Step 2: Convert to fraction form
    25,075.50/55,071 = 55,071/x
  3. Step 3: Cross multiply
    25,075.50x = 55,071 × 55,071
  4. Step 4: Simplify right side
    25,075.50x = 3,032,815,041
  5. Step 5: Solve for x
    x = 3,032,815,041/25,075.50
  6. Step 6: Final answer
    x = 120,947.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.