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Finding the Third Proportional to 7,962.75 and 16,715.25

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Solution

The third proportional to 7,962.75 and 16,715.25 is: 35,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.75 : 16,715.25 = 16,715.25 : x
  2. Step 2: Convert to fraction form
    7,962.75/16,715.25 = 16,715.25/x
  3. Step 3: Cross multiply
    7,962.75x = 16,715.25 × 16,715.25
  4. Step 4: Simplify right side
    7,962.75x = 279,399,582.56
  5. Step 5: Solve for x
    x = 279,399,582.56/7,962.75
  6. Step 6: Final answer
    x = 35,088.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.