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Finding the Third Proportional to 7,846.25 and 10,999.50

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Solution

The third proportional to 7,846.25 and 10,999.50 is: 15,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.25 : 10,999.50 = 10,999.50 : x
  2. Step 2: Convert to fraction form
    7,846.25/10,999.50 = 10,999.50/x
  3. Step 3: Cross multiply
    7,846.25x = 10,999.50 × 10,999.50
  4. Step 4: Simplify right side
    7,846.25x = 120,989,000.25
  5. Step 5: Solve for x
    x = 120,989,000.25/7,846.25
  6. Step 6: Final answer
    x = 15,419.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.