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Finding the Third Proportional to 3,522 and 7,771.88

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Solution

The third proportional to 3,522 and 7,771.88 is: 17,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522 : 7,771.88 = 7,771.88 : x
  2. Step 2: Convert to fraction form
    3,522/7,771.88 = 7,771.88/x
  3. Step 3: Cross multiply
    3,522x = 7,771.88 × 7,771.88
  4. Step 4: Simplify right side
    3,522x = 60,402,041.02
  5. Step 5: Solve for x
    x = 60,402,041.02/3,522
  6. Step 6: Final answer
    x = 17,149.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.