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Finding the Third Proportional to 7,690.50 and 12,237.75

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Solution

The third proportional to 7,690.50 and 12,237.75 is: 19,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.50 : 12,237.75 = 12,237.75 : x
  2. Step 2: Convert to fraction form
    7,690.50/12,237.75 = 12,237.75/x
  3. Step 3: Cross multiply
    7,690.50x = 12,237.75 × 12,237.75
  4. Step 4: Simplify right side
    7,690.50x = 149,762,525.06
  5. Step 5: Solve for x
    x = 149,762,525.06/7,690.50
  6. Step 6: Final answer
    x = 19,473.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.