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Finding the Third Proportional to 7,009.44 and 15,381.20

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Solution

The third proportional to 7,009.44 and 15,381.20 is: 33,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.44 : 15,381.20 = 15,381.20 : x
  2. Step 2: Convert to fraction form
    7,009.44/15,381.20 = 15,381.20/x
  3. Step 3: Cross multiply
    7,009.44x = 15,381.20 × 15,381.20
  4. Step 4: Simplify right side
    7,009.44x = 236,581,464.02
  5. Step 5: Solve for x
    x = 236,581,464.02/7,009.44
  6. Step 6: Final answer
    x = 33,751.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.