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Finding the Third Proportional to 9,482.88 and 13,659.50

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Solution

The third proportional to 9,482.88 and 13,659.50 is: 19,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.88 : 13,659.50 = 13,659.50 : x
  2. Step 2: Convert to fraction form
    9,482.88/13,659.50 = 13,659.50/x
  3. Step 3: Cross multiply
    9,482.88x = 13,659.50 × 13,659.50
  4. Step 4: Simplify right side
    9,482.88x = 186,581,940.25
  5. Step 5: Solve for x
    x = 186,581,940.25/9,482.88
  6. Step 6: Final answer
    x = 19,675.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.