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Finding the Third Proportional to 9,496.88 and 20,666.06

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Solution

The third proportional to 9,496.88 and 20,666.06 is: 44,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.88 : 20,666.06 = 20,666.06 : x
  2. Step 2: Convert to fraction form
    9,496.88/20,666.06 = 20,666.06/x
  3. Step 3: Cross multiply
    9,496.88x = 20,666.06 × 20,666.06
  4. Step 4: Simplify right side
    9,496.88x = 427,086,139.25
  5. Step 5: Solve for x
    x = 427,086,139.25/9,496.88
  6. Step 6: Final answer
    x = 44,971.23

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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.