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Finding the Third Proportional to 30,466.13 and 47,082.09

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Solution

The third proportional to 30,466.13 and 47,082.09 is: 72,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 47,082.09 = 47,082.09 : x
  2. Step 2: Convert to fraction form
    30,466.13/47,082.09 = 47,082.09/x
  3. Step 3: Cross multiply
    30,466.13x = 47,082.09 × 47,082.09
  4. Step 4: Simplify right side
    30,466.13x = 2,216,723,551.88
  5. Step 5: Solve for x
    x = 2,216,723,551.88/30,466.13
  6. Step 6: Final answer
    x = 72,760.27

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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.