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Finding the Third Proportional to 7,320.75 and 16,029.75

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Solution

The third proportional to 7,320.75 and 16,029.75 is: 35,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.75 : 16,029.75 = 16,029.75 : x
  2. Step 2: Convert to fraction form
    7,320.75/16,029.75 = 16,029.75/x
  3. Step 3: Cross multiply
    7,320.75x = 16,029.75 × 16,029.75
  4. Step 4: Simplify right side
    7,320.75x = 256,952,885.06
  5. Step 5: Solve for x
    x = 256,952,885.06/7,320.75
  6. Step 6: Final answer
    x = 35,099.26

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