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Finding the Third Proportional to 13,082.77 and 20,220.89

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Solution

The third proportional to 13,082.77 and 20,220.89 is: 31,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.77 : 20,220.89 = 20,220.89 : x
  2. Step 2: Convert to fraction form
    13,082.77/20,220.89 = 20,220.89/x
  3. Step 3: Cross multiply
    13,082.77x = 20,220.89 × 20,220.89
  4. Step 4: Simplify right side
    13,082.77x = 408,884,417.67
  5. Step 5: Solve for x
    x = 408,884,417.67/13,082.77
  6. Step 6: Final answer
    x = 31,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.