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Finding the Third Proportional to 9,695.32 and 14,824.90

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Solution

The third proportional to 9,695.32 and 14,824.90 is: 22,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.32 : 14,824.90 = 14,824.90 : x
  2. Step 2: Convert to fraction form
    9,695.32/14,824.90 = 14,824.90/x
  3. Step 3: Cross multiply
    9,695.32x = 14,824.90 × 14,824.90
  4. Step 4: Simplify right side
    9,695.32x = 219,777,613.68
  5. Step 5: Solve for x
    x = 219,777,613.68/9,695.32
  6. Step 6: Final answer
    x = 22,668.42

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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.