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Finding the Third Proportional to 7,354.55 and 16,075.97

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Solution

The third proportional to 7,354.55 and 16,075.97 is: 35,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.55 : 16,075.97 = 16,075.97 : x
  2. Step 2: Convert to fraction form
    7,354.55/16,075.97 = 16,075.97/x
  3. Step 3: Cross multiply
    7,354.55x = 16,075.97 × 16,075.97
  4. Step 4: Simplify right side
    7,354.55x = 258,436,771.25
  5. Step 5: Solve for x
    x = 258,436,771.25/7,354.55
  6. Step 6: Final answer
    x = 35,139.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.