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Finding the Third Proportional to 9,800.44 and 14,791.88

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Solution

The third proportional to 9,800.44 and 14,791.88 is: 22,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.44 : 14,791.88 = 14,791.88 : x
  2. Step 2: Convert to fraction form
    9,800.44/14,791.88 = 14,791.88/x
  3. Step 3: Cross multiply
    9,800.44x = 14,791.88 × 14,791.88
  4. Step 4: Simplify right side
    9,800.44x = 218,799,566.02
  5. Step 5: Solve for x
    x = 218,799,566.02/9,800.44
  6. Step 6: Final answer
    x = 22,325.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.