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Finding the Third Proportional to 7,168.50 and 16,865.93

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Solution

The third proportional to 7,168.50 and 16,865.93 is: 39,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.50 : 16,865.93 = 16,865.93 : x
  2. Step 2: Convert to fraction form
    7,168.50/16,865.93 = 16,865.93/x
  3. Step 3: Cross multiply
    7,168.50x = 16,865.93 × 16,865.93
  4. Step 4: Simplify right side
    7,168.50x = 284,459,584.22
  5. Step 5: Solve for x
    x = 284,459,584.22/7,168.50
  6. Step 6: Final answer
    x = 39,681.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.