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Finding the Third Proportional to 9,695.44 and 15,555.56

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Solution

The third proportional to 9,695.44 and 15,555.56 is: 24,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.44 : 15,555.56 = 15,555.56 : x
  2. Step 2: Convert to fraction form
    9,695.44/15,555.56 = 15,555.56/x
  3. Step 3: Cross multiply
    9,695.44x = 15,555.56 × 15,555.56
  4. Step 4: Simplify right side
    9,695.44x = 241,975,524.69
  5. Step 5: Solve for x
    x = 241,975,524.69/9,695.44
  6. Step 6: Final answer
    x = 24,957.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.