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Finding the Third Proportional to 9,264.85 and 20,206.79

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Solution

The third proportional to 9,264.85 and 20,206.79 is: 44,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.85 : 20,206.79 = 20,206.79 : x
  2. Step 2: Convert to fraction form
    9,264.85/20,206.79 = 20,206.79/x
  3. Step 3: Cross multiply
    9,264.85x = 20,206.79 × 20,206.79
  4. Step 4: Simplify right side
    9,264.85x = 408,314,393.28
  5. Step 5: Solve for x
    x = 408,314,393.28/9,264.85
  6. Step 6: Final answer
    x = 44,071.35

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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.