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Finding the Third Proportional to 8,525.25 and 20,354.63

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Solution

The third proportional to 8,525.25 and 20,354.63 is: 48,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.25 : 20,354.63 = 20,354.63 : x
  2. Step 2: Convert to fraction form
    8,525.25/20,354.63 = 20,354.63/x
  3. Step 3: Cross multiply
    8,525.25x = 20,354.63 × 20,354.63
  4. Step 4: Simplify right side
    8,525.25x = 414,310,758.89
  5. Step 5: Solve for x
    x = 414,310,758.89/8,525.25
  6. Step 6: Final answer
    x = 48,598.08

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.