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Finding the Third Proportional to 9,517.50 and 14,817.94

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Solution

The third proportional to 9,517.50 and 14,817.94 is: 23,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.50 : 14,817.94 = 14,817.94 : x
  2. Step 2: Convert to fraction form
    9,517.50/14,817.94 = 14,817.94/x
  3. Step 3: Cross multiply
    9,517.50x = 14,817.94 × 14,817.94
  4. Step 4: Simplify right side
    9,517.50x = 219,571,271.75
  5. Step 5: Solve for x
    x = 219,571,271.75/9,517.50
  6. Step 6: Final answer
    x = 23,070.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.