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Finding the Third Proportional to 9,960.63 and 21,673.67

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Solution

The third proportional to 9,960.63 and 21,673.67 is: 47,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.63 : 21,673.67 = 21,673.67 : x
  2. Step 2: Convert to fraction form
    9,960.63/21,673.67 = 21,673.67/x
  3. Step 3: Cross multiply
    9,960.63x = 21,673.67 × 21,673.67
  4. Step 4: Simplify right side
    9,960.63x = 469,747,967.88
  5. Step 5: Solve for x
    x = 469,747,967.88/9,960.63
  6. Step 6: Final answer
    x = 47,160.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.