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Finding the Third Proportional to 27,082.13 and 59,509.13

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Solution

The third proportional to 27,082.13 and 59,509.13 is: 130,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.13 : 59,509.13 = 59,509.13 : x
  2. Step 2: Convert to fraction form
    27,082.13/59,509.13 = 59,509.13/x
  3. Step 3: Cross multiply
    27,082.13x = 59,509.13 × 59,509.13
  4. Step 4: Simplify right side
    27,082.13x = 3,541,335,958.27
  5. Step 5: Solve for x
    x = 3,541,335,958.27/27,082.13
  6. Step 6: Final answer
    x = 130,762.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.