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Finding the Third Proportional to 7,962.75 and 17,156.25

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Solution

The third proportional to 7,962.75 and 17,156.25 is: 36,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.75 : 17,156.25 = 17,156.25 : x
  2. Step 2: Convert to fraction form
    7,962.75/17,156.25 = 17,156.25/x
  3. Step 3: Cross multiply
    7,962.75x = 17,156.25 × 17,156.25
  4. Step 4: Simplify right side
    7,962.75x = 294,336,914.06
  5. Step 5: Solve for x
    x = 294,336,914.06/7,962.75
  6. Step 6: Final answer
    x = 36,964.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.