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Finding the Third Proportional to 6,166.13 and 9,632.67

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Solution

The third proportional to 6,166.13 and 9,632.67 is: 15,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 9,632.67 = 9,632.67 : x
  2. Step 2: Convert to fraction form
    6,166.13/9,632.67 = 9,632.67/x
  3. Step 3: Cross multiply
    6,166.13x = 9,632.67 × 9,632.67
  4. Step 4: Simplify right side
    6,166.13x = 92,788,367.45
  5. Step 5: Solve for x
    x = 92,788,367.45/6,166.13
  6. Step 6: Final answer
    x = 15,048.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.