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Finding the Third Proportional to 13,572.35 and 20,762.16

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Solution

The third proportional to 13,572.35 and 20,762.16 is: 31,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.35 : 20,762.16 = 20,762.16 : x
  2. Step 2: Convert to fraction form
    13,572.35/20,762.16 = 20,762.16/x
  3. Step 3: Cross multiply
    13,572.35x = 20,762.16 × 20,762.16
  4. Step 4: Simplify right side
    13,572.35x = 431,067,132.15
  5. Step 5: Solve for x
    x = 431,067,132.15/13,572.35
  6. Step 6: Final answer
    x = 31,760.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.