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Finding the Third Proportional to 9,964.13 and 15,632.44

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Solution

The third proportional to 9,964.13 and 15,632.44 is: 24,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.13 : 15,632.44 = 15,632.44 : x
  2. Step 2: Convert to fraction form
    9,964.13/15,632.44 = 15,632.44/x
  3. Step 3: Cross multiply
    9,964.13x = 15,632.44 × 15,632.44
  4. Step 4: Simplify right side
    9,964.13x = 244,373,102.19
  5. Step 5: Solve for x
    x = 244,373,102.19/9,964.13
  6. Step 6: Final answer
    x = 24,525.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.