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Finding the Third Proportional to 20,391.19 and 31,196.81

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Solution

The third proportional to 20,391.19 and 31,196.81 is: 47,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.19 : 31,196.81 = 31,196.81 : x
  2. Step 2: Convert to fraction form
    20,391.19/31,196.81 = 31,196.81/x
  3. Step 3: Cross multiply
    20,391.19x = 31,196.81 × 31,196.81
  4. Step 4: Simplify right side
    20,391.19x = 973,241,110.16
  5. Step 5: Solve for x
    x = 973,241,110.16/20,391.19
  6. Step 6: Final answer
    x = 47,728.52

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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.