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Finding the Third Proportional to 7,539.75 and 11,084.06

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Solution

The third proportional to 7,539.75 and 11,084.06 is: 16,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.75 : 11,084.06 = 11,084.06 : x
  2. Step 2: Convert to fraction form
    7,539.75/11,084.06 = 11,084.06/x
  3. Step 3: Cross multiply
    7,539.75x = 11,084.06 × 11,084.06
  4. Step 4: Simplify right side
    7,539.75x = 122,856,441.50
  5. Step 5: Solve for x
    x = 122,856,441.50/7,539.75
  6. Step 6: Final answer
    x = 16,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.