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Finding the Third Proportional to 7,251.75 and 11,489.63

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Solution

The third proportional to 7,251.75 and 11,489.63 is: 18,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.75 : 11,489.63 = 11,489.63 : x
  2. Step 2: Convert to fraction form
    7,251.75/11,489.63 = 11,489.63/x
  3. Step 3: Cross multiply
    7,251.75x = 11,489.63 × 11,489.63
  4. Step 4: Simplify right side
    7,251.75x = 132,011,482.64
  5. Step 5: Solve for x
    x = 132,011,482.64/7,251.75
  6. Step 6: Final answer
    x = 18,204.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.