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Finding the Third Proportional to 7,239 and 9,658.50

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Solution

The third proportional to 7,239 and 9,658.50 is: 12,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239 : 9,658.50 = 9,658.50 : x
  2. Step 2: Convert to fraction form
    7,239/9,658.50 = 9,658.50/x
  3. Step 3: Cross multiply
    7,239x = 9,658.50 × 9,658.50
  4. Step 4: Simplify right side
    7,239x = 93,286,622.25
  5. Step 5: Solve for x
    x = 93,286,622.25/7,239
  6. Step 6: Final answer
    x = 12,886.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.