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Finding the Third Proportional to 7,523.30 and 11,695.85

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Solution

The third proportional to 7,523.30 and 11,695.85 is: 18,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.30 : 11,695.85 = 11,695.85 : x
  2. Step 2: Convert to fraction form
    7,523.30/11,695.85 = 11,695.85/x
  3. Step 3: Cross multiply
    7,523.30x = 11,695.85 × 11,695.85
  4. Step 4: Simplify right side
    7,523.30x = 136,792,943.77
  5. Step 5: Solve for x
    x = 136,792,943.77/7,523.30
  6. Step 6: Final answer
    x = 18,182.58

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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.