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Finding the Third Proportional to 4,522.08 and 11,777.91

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Solution

The third proportional to 4,522.08 and 11,777.91 is: 30,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.08 : 11,777.91 = 11,777.91 : x
  2. Step 2: Convert to fraction form
    4,522.08/11,777.91 = 11,777.91/x
  3. Step 3: Cross multiply
    4,522.08x = 11,777.91 × 11,777.91
  4. Step 4: Simplify right side
    4,522.08x = 138,719,075.63
  5. Step 5: Solve for x
    x = 138,719,075.63/4,522.08
  6. Step 6: Final answer
    x = 30,675.96

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.