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Finding the Third Proportional to 13,590.70 and 20,322.77

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Solution

The third proportional to 13,590.70 and 20,322.77 is: 30,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.70 : 20,322.77 = 20,322.77 : x
  2. Step 2: Convert to fraction form
    13,590.70/20,322.77 = 20,322.77/x
  3. Step 3: Cross multiply
    13,590.70x = 20,322.77 × 20,322.77
  4. Step 4: Simplify right side
    13,590.70x = 413,015,120.19
  5. Step 5: Solve for x
    x = 413,015,120.19/13,590.70
  6. Step 6: Final answer
    x = 30,389.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.