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Finding the Third Proportional to 7,325.44 and 16,029.14

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Solution

The third proportional to 7,325.44 and 16,029.14 is: 35,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.44 : 16,029.14 = 16,029.14 : x
  2. Step 2: Convert to fraction form
    7,325.44/16,029.14 = 16,029.14/x
  3. Step 3: Cross multiply
    7,325.44x = 16,029.14 × 16,029.14
  4. Step 4: Simplify right side
    7,325.44x = 256,933,349.18
  5. Step 5: Solve for x
    x = 256,933,349.18/7,325.44
  6. Step 6: Final answer
    x = 35,074.13

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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.