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Finding the Third Proportional to 10,729.88 and 22,202.25

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Solution

The third proportional to 10,729.88 and 22,202.25 is: 45,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.88 : 22,202.25 = 22,202.25 : x
  2. Step 2: Convert to fraction form
    10,729.88/22,202.25 = 22,202.25/x
  3. Step 3: Cross multiply
    10,729.88x = 22,202.25 × 22,202.25
  4. Step 4: Simplify right side
    10,729.88x = 492,939,905.06
  5. Step 5: Solve for x
    x = 492,939,905.06/10,729.88
  6. Step 6: Final answer
    x = 45,940.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.